15/14/30

Liberal Arts and Sciences

Mathematics

Mahlon M. Day Papers, 1934-93

Box 1:

Bibliography, 1982

Publications (3 folders), 1939-82

Correspondence (5 folders), 1940-48, 1963, 1970-86, 1991

Official Letters, 1936-44

University of Illinois Correspondence, 1943-46, 1955-63, 1971-86, 1990

Family, Elizabeth Coone Day and Mrs. Coone, 1950

Photographs, family, 1950

Death of Elizabeth Day--correspondence, clippings, copy of final letter, 1951

Brown University

Papers, Introduction to Literature, 1934

Division puzzle, 1937

M. S. Thesis, Function to Function Transformations (2 folders), 1937

Statement of the Department of Mathematics Concerning Day, 1939

Minor Thesis, Distribution of Primes, 1939

Thesis manuscript, notes, 1939

Ph. D. Thesis, Weak and strong regularity conditions, 1939

Convocation, June 17, 1939

Mathematical notes, 1940-41

Under investigation, notes

Course notes

Jacob D. Tamarkin, Polynomials of Approximation, 1936

C. R. Adams, Introduction to Analysis, 1936-37

Differential geometry notes, Math 201-2, 1936-37

Problems, 1936-37

J. D. Tamarkin, Theory of Abstract Spaces, 1937

Algebra notes, 1937-38

Rough moment problem notes, 1938

Box 2:

J. D. Tamarkin, Measure and Probability notes, 1938-39

Von Neumann notes, 1939-40

Notes, 1940

Elizabeth Day, English 45 (drama), notes and papers, 1940

Banach, "Operations Lineares"

Geology 1 course materials

Math 227, Functional Analysis

Math 228, Tamarkin

Math 232, Differential Equations, notes, Chapter I

Chapter II

Chapter III

Complex Variables outline

Manuscripts

Lists

Regular function-to-function transformations, 1938

Lp paper, 1940

Reflexive spaces which can not be made uniformly convex, 1940

Some more uniformly convex spaces, 1940

On Linear Methods of Summability, 1940

"On Linear Methods of Summability" and "A Norm Ergodic Theorem," first versions, 1940

"On Linear Methods of Summability" and "A Norm Ergodic Theorem" (3 folders), 1940-
41

A Property of Banach Spaces, 1941

Operations in Banach Spaces, 1942

Ergodic Theorems for Abelian Semi-Groups, 1942

Convergence, Closure, and Neighborhoods (2 folders), 1943

Uniform Convexity III, 1943

Uniform Convexity in Factor and Conjugate Spaces, 1943

Oriented Systems, 1943-44

Cluster Points of Subsequences, 1944

Every Linear Metric Space Is a Linear Topological Spaces, 1949

On Criteria of Kasanara and Blumenthal for Inner Product Spaces, 1955-59

On Projections, Mar. 10, 1956

Semigroups and Means, 1956

Reviews of Normed Linear Spaces, 1958-60

On the Basis Problem in Normed Spaces, 1959-61

Fixed-Point Theorems for Compact Convex Sets, 1960

Reviews of Normed Linear Spaces, 2nd ed., 1963

Correspondence on Normed Linear Spaces, 1963-70, 1983

Convolution, Means and Spectra (2 folders), 1963-64

Fixed-Point Correction, 1964

Amenability and Equicontinuity, 1967-68

Semigroups and Invariant Means, 1968

Semigroups and Amenability, rough copy, 1968

Semifinal copy, 1968

Final copy, 1968

Errata

Correspondence, 1969

Box 3:

Normed Linear Spaces that are Uniformly Convex in Every Direction, 1971

Varieties of Amenable Groups, ca. 1971

A Geometric Proof of Asplund's Differentiation Theorem, 1972-73

Normed Linear Spaces, 3rd ed., Superreflexive spaces, 1972

Normed Linear Spaces, 3rd ed. (2 folders), 1971, 1973

Index, 1973

Part of typescript

Proofs, 1972-75

Errata sheets, 1983

Mimicry in Normed Spaces (2 folders), 1974, 1977

Invariant Renorming, 1975

Invariant Renorming of c0, m, and L1 Spaces, ca. 1975

On a Renorming Theorem of Sz.-Nagy, 1975-76

Manuscript on lumpy subsets, 1976

Comments on Notes of Stanojevic et al., 1976-82

Bade functional paper, 1977-81

Left Thick to Left Lumpy..., 1979-82

Book review, Berglund, Junghenn, and Milnes, 1980

Functionally Left Lumpy Sets (3 folders), 1981-84

"Citation" Classic, 1982

Convergence and Order (6 folders), 1983-84

Correspondence, 1984-85

Inner-Product Potpourri, drafts, reprints, 1989-90

Basis problem in reflexive spaces, notes

Borwein's Characterization of Inner Product Spaces

Rotundity, Smoothness, Duality notes

Unfixed Points

Weak containment and amenability, notes

Box 4:

Reviews, Mathematical Reviews (19 folders), 1945-81

Box 5:

Reviews, Mathematical Reviews (2 folders), 1986, 1992

Reviews--correspondence, 1939, 1964-70, 1976-81

Research Grants

Office of Naval Research, 1947-50. 1954

1954-63

Office of Ordnance Research, 1955-56

National Science Foundation (6 folders), 1969-76

Conferences

International Congress of Mathematicians, Cambridge, MA, Aug. 30 - Sept. 6, 1950

Symposium on Convexity, Seattle, June 13-15, 1961

Symposium on Semigroups at Wayne State University, 1967-69

International Symposium on Partial Differential Equations and Geometry of Normed Spaces, Jerusalem, June 19-28, 1972

Wabash International Conference on Banach Spaces, June 25-29, 1973

East Lansing Conference on the Geometry of Metric and Linear Spaces, 1974-75

RNP Conference, notes, Feb. 8, 1975

Seminar on Fixed Point Theory, Halifax, 1975-76

Durham Symposium on the Relations between Infinite Dimensional and Finite Dimensional Convexity, 1975-76

Day Conference (Conference on the Geometry of Normed Linear Spaces), 1983

Factorization of Linear Operators and Geometry of Banach Spaces Conference, 1984

Math Course Materials

1976-85

Math 117, lectures, early 1950s

Math 125, Spring 1979

Math 135, &B1, Fall 1979

Math 140, D2, Fall 1977

Math 141, &C3, Fall 1978

Math 149, 1978-79

Class notes

Math 242 (2 folders), Fall 1975

Math 301, class notes

Math 315 (2 folders), Fall 1985

Math 319 (3 folders), Spring 1978 - Spring 1983

Math 343 notes, exterior forms, Fall 1975

Math 344 (2 folders), Summer 1985

Box 6:

Math 346, Spring 1982

Math 361, Summer 1977, Spring 1982

Math 383 (2 folders), Summer 1983

Math 391, 1981-82

Math 430, class notes

Math 431, class notes

Math 441, hour exam, Spring 1959

Notes, chapters I to V

Notes on bounded variation

Math 442, notes

Math 446, class notes

Math 447, background notes--Introduction to Functional Analysis by A. L. Peressini, 1963

Math 450 notes

Math 469 notes

Student course papers 1969-75

American Association for the Advancement of Science Council, 1965-69

American Federation of Teachers/Union of Professional Employees, 1978-81

J. F. Berglund, H. D. Junghenn, and P. Milnes, 1984

Bulletin of the American Mathematical Society, refereeing, 1941-44

Bylaws, 1973-74

Cairns, S. S., head of Department of Mathematics, 1958

Capricious Grading Committee (2 folders), 1981-83

Chou, Ching, 1970

Church, Alonzo, Coble Memorial Lectures, background material, notes, Sept. 23-25, 1975

Colleagues, Correspondence with, B - J, 1963-91

K - Y, 1961-93

Committee on Support of Research In the Mathematical Sciences (2 folders), 1965-68

Committee on Undergraduate Programs, 1959-62

Box 7:

Computer Calculus, 1972-74

Computing Equipment Purchase Committee, 1974

Day, F., Computer Programming Notebook, 1984

Fell Seminar

Friends General Conference, 1980, 1984

Functional Analysis Seminar notes

Geometry for Analysts (2 folders), 1975-81

Groups for Analysts--Amenability

Iceland, 1975

Illinois Journal of Mathematics (3 folders), 1970-71, 1980, 1983-86

Improbable Similarities Committee, 1984-85

Invited Talks, 1961-81

Karayannakis, Dimitri, 1986

Kharaghani, H., 1978-79

Knox College Visiting Examiner, May 1984

Landslad, Magnus B., "On the Bohr topology in amenable topological groups," notes

Lectures on Linear Spaces, University of Arizona (2 folders), 1960

LETTER/righter, 1981-83

Letters of Recommendation (2 folders), 1969-86

London, Ontario talks, 1983-84

Mathematical Association of America Executive Committee, Illinois Section, 1962-63

Mathematical Association of America Visiting Lecturer (3 folders), 1961-66

Mathematical Review editorship, 1949

Mathematics-Engineering Liaison Committee, 1968

Megginson, Robert E. (2 folders), 1982-83

Thesis, 1984

Notes on amenable semigroups (2 folders)

Notes--"book queries"

Notes, mathematical and travel

Notes on number theory

Outlines of talks, 1955, 1962-84

Paterson, Alan L. T., 1976-84

Phone numbers

Photograph, 42nd Summer Meeting, Mathematical Organizations of America, 1936

Reprint Requests, 1958-85

Retirement Papers, Frances and Mahlon Day (2 folders), 1967, 1972-85

Box 8:

Rockford College, Journals Correspondence, 1983-84

Schäffer, Juan J., 1977-78

Science fiction magazine collection, inventory of, ca. 1946

Smith, Mark, 1977-80

Staff Information--salaries, promotion, 1963

Subcommittee on Student Conduct for Graduate Students, 1977-79

Thesis abstract, "Positive extension of operators"

Tomita Scratch Paper, 1957

Translation, Naimark, 1950s

Sitnikov, early 1950s

Uhl, J. J. lecture, notes

University of Illinois Committee on School Mathematics Board, 1964-65

Vancouver-Edmonton Talks, 1985-86

Zariski, Oscar, Colloquium Lectures, Abstract Algebraic Geometry, Sept. 1947

Zelazny, Anthony. 1985-86

Reprints

Alexander, Ralph

Arazy, Jonathan

Baer, Reinhold

Bartle, Robert G.

Berg, I. D.

Berkson, Earl

Bogdanowicz, Witold M.

Boone, William W.

Browder, Felix E.

Burkholder, D. L.

Cairns, Stewart S.

Chen, Kuo-Tsai

Chou, Ching

Cohen, Jozef

Cohen, Paul J.

Cudia, Dennis F.

Diaz, J. B.

Dor, Leonard E.

Francis, George K.

Granirer, Edmond E.

Gray, John W.

Box 9:

Reprints (cont.)

Haken, Wolfgang

Hamstrom, Mary-Elizabeth

Henson, C. Ward

Hochster, M.

Jerrard, R. P.

Jogdeo, Kumar

Kadison, Richard V.

Kaufman, Robert

Klee, Victor

Lau, Anthony To-Ming

Loeb, Peter A.

Lotz, Heinrich P.

Marti, J. T.

Milnes, Paul

Osborn, Howard

Peck, N. T.

Porta, Horacio

Pu, Lena Chang

Rajagopalan, M.

Rao, Chivukula R.

Reznick, Bruce

Riddle, Lawrence H.

Roberts, James W.

Rosenthal, Haskell P.

Rothman, Neal J.

Rubel, Lee A.

Ruston, A. F.

Saab, Elias

Saab, Paulette

Sato, Ryotaro

Singer, Ivan

Box 10:

Reprints (cont.)

Stolarsky, Kenneth B.

Takeuti, Gaisi

Tomita, Minoru

Tulcea, A. Ionescu

Tulcea, C. Ionescu

Uhl, J. J., Jr.

Wetzel, John E.

Wilde, Carroll O.

Zippin, M.

Box 11:

Grade Books, 1942-83

Box 12:

(Materials in Boxes 12 and 13 received 9/4/1996)

Albert, A. A.

"The Finite Planes of Ostrom," 1962

"Quadratic Forms Permitting Composition," 1962

Banach Space Conference, Kent University, Notes, 1987

Conference on Measure Theory and Its Application, Northern Illinois University, 1980

Correspondence, 1961, 1963, 1965, 1987, 1989-1990

Distance Sums Bibliography

"Duality Between Smooth and Rotund Spaces," Lecture, 1987

Freyd, Peter

Abelian Categories, (2 folders), 1962

"Functor Categories and their Application to Relative Homology"

Kaplansky, Irving

"Fields"

"Homological Dimension of Rings and Modules"

Kelly, G. M., "Tensor Products in Categories"

Krien and Rutman, "Linear Operators Leaving Invariant a Cone in a Banach Space," notes

LAS Language Requirement Letter Rough Drafts

MacLane, Saunders

"The Axioms for Set Theory," Math 261

"Categorical Algebra," 1963

"Group Extensions by Primary Abelian Groups," 1960

"Natural Associativity and Commutativity"

Manuscripts by Day

"Cluster Points of Subsequences," 1944

"Convergence and Order," ("final copy"), 1984

"An Ergotic Theorem for Bounded Groups"

"I-P Potpourri"

"Means for the Bounded Functions and Ergodicity of the Bounded Representations of Semi-	Groups," 1950

"Measure Theory, Integration Theory, Abstract Differentiation..."

"Moore-Smith Convergence," 1987

"Oriented Systems," 1943

"Polygons Circumscribed about Closed Convex Curves," 1948

"Some Characterizations of Inner-Product Spaces," 1947

"Strict Convexity," 1954

Unknown Manuscript Editing

"Yosemite James and the Towers of Doom! or The Quasireflexive Space of R. C. James and its Tower of Conjugate Spaces"

Mapping Constants

Math 221, Notes

Math 303, Brown University, Summer 1945

Course Notes

Student Exams

Student Exams, Papers, and Course Cards

Math 442, readings and exams

Math Notes, University of Chicago

Math Problem Pages

Mathematical Association of America, 1971

Mathematical Reviews, 1986-1991

1979-1985, no date

Tianxuan Miao

"Modules, Diagrams and Functions"

Box 13:

Normal Rings, notes

Notation for Set Theoretical and Logical Operations

Notebooks, Math 557, University of Chicago, ca. 1961

Notes, Mathematical

Project ALP, Unclassified Working Papers, 1961

William Lowell Putnam Mathematical Competition Questions, 1951

Referee's Reports, 1987-1990

1980-1986

Research Grant Applications, 1989

Rings, Notes and Outlines

Saab, Elias, 1988

Semi-Simple Lie Algebra, 1962

Serre, Jean-Pierre, Lie Algebras and Lie Groups, 1964

Systems of Linear Equations and Gaussian Elimination

Theses

Bouwer, I. Z., "Standard Representations of Simple Lie Algebras," 1964

Day, M. M., "Infinite Dimensional Representations of A1," 1967

Lemire, Frances W., "Infinite Dimensional Irreducible Representations of Simple Lie
Algebras," 1967

Megginson, Bob, "The Semi-Kladec-Klee Condition and Nearest-Point Properties of Sets in Normed Linear Spaces," 1984

Thesis pages

Translations by Day

Gel'fand and Naimark, " Unitary Representations of Semi-Simple Lie Groups," 1950

Silov, G. E., "Homogenous Ring Functions"

Silov, G. E., " On the Decomposition of a Commutative Normed Ring Into a Direct Sum of Ideals," 1954

Smirnov, N. V., "Limit Distribution for the Terms of a Variational Series," 1957

Srieder, Yu. A., "Structure of the Maximal Ideals in Rings of Measures with Convolution,"

Translation Editing, no date

Visiting Lecturer Materials

Unitary Spaces and Operator Algebras

Wong, James C. S.

Box 14:

Correspondence

General, 1948-65 (three folders)

Appointments, 1961

Springer-Verlag re: Normed Linear Spaces, 1960-72, 1970-71

University of Illinois, Business, 1950-54

Letters of Recommedation, 1963-80 (four folders)

Mathematical Association of America

American Association for the Advancement of Science, 1969-71

Committee on Doctor of Arts in Mathematics, 1958-63

Personal File (includes referee's reports), 1956-70 (three folders)

Publications

Reprints, 1955-1980

Arithmetic of Ordered Systems, 1945

Amenable Semigroups	, 1956

Normed Linear Spaces, 1958, 1962.

Referree's Reports, 1945-69 (five folders)

Self-Improvement Literature

Cooking, ca. 1950.

Sexual Health, ca. 1950.

Youth-Boy Scouts, ca. 1950.

Box 15 (Oversize):

42nd Summer Meeting of Mathematical Organizations of America, 1935