A Guide to the B. J. Pettis Papers, 1938-1980
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Creator: |
Pettis, B. J. |
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Title: |
B. J. Pettis
Papers |
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Dates: |
1938-1980 |
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Abstract: |
Billy James (B. J.)
Pettis (1913-1979) received his Ph.D. in 1937 from the University of Virginia.
Pettis was first a Professor of Mathematics at Tulane University and then at
the University of North Carolina at Chapel Hill from 1957 until his death in
1979. This collection primarily consists of annotated reprints, mathematical
notes, lecture notes, and subject files. |
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Accession No.: |
2005-204 |
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Extent: |
1 ft., 6 in. |
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Laguage: |
Materials are
written in English. |
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Repository: |
Dolph Briscoe Center for American
History, The University of Texas at
Austin |
Billy James (B. J.) Pettis (1913-1979)
received his Ph.D. in 1937 from the University of Virginia. Pettis was first a
Professor of Mathematics at Tulane University and then at the University of
North Carolina at Chapel Hill from 1957 until his death in 1979. Pettis
produced fundamental work in functional analysis, including the general theory
of Pettis Integration that is used in control theory and areas of pure
mathematics. Pettis is also known for the Orlicz-Pettis Theorem, the
Dunford-Pettis Theorem, and the Pettis Theorem on Measurability.
This collection primarily consists of
annotated reprints, mathematical notes, lecture notes, and subject
files.
Forms part of the Archives of American Mathematics.
Access Restrictions
Unrestricted access.
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Pettis, Billy James |
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University of North Carolina at Chapel
Hill. Dept. of Mathematics. |
B. J. Pettis Papers, 1938-1980, Archives
of American Mathematics, Dolph Briscoe Center for American History, University of
Texas at Austin.
Detailed Description of the Papers
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| 4RM139 |
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General correspondence,
1975 and undated |
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Works by Pettis: |
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| 4RM139 |
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“Closed Graph and Open Mapping Theorem in Metrically
Complete Spaces” [includes drafts and notes],
undated |
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Duke talk, “Open Mapping and Closed Graph Theorems; or
Ancient Monuments Revisited,” North Carolina Analysis Colloquium [includes
draft copies and notes],
1971-1975 and undated |
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“On Some Theorems of Sierpinski on Subalgebras of Boolean
σ-Rings” by B. J. Pettis [annotated reprint with separate notes],
1970 and undated |
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| 4RM167 |
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“S – G – P Seminar: 20 Jan 1977. Difference Theorems, and
Gelfand’s 1935 Lemma and Some of Its Recent Successors” [photocopy of
handwritten manuscript],
1977 |
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“On the Radon-Nikodym Theorem” [typescript],
undated |
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“Open Homomorphisms via Somewhere Denseness” [typescript],
undated |
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“Some Topological Questions Related to Open Mapping and
Closed Graph Theorems” in
Studies in Topology, New York:
Academic Press, Inc.,
1975 |
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Reprints: |
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“A Note on Regular Banach Spaces,” in
Bulletin of the American Mathematical
Society,
June 1938 |
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“Linear Functions and Completely Additive Set
Functions,” in
Duke Mathematical Journal, 4 (3),
September, 1938 |
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“On Integration in Vector Spaces,” in
Transactions of the American Mathematical
Society, 44 (2),
September 1938 |
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“Differentiation in Banach Spaces,” in
Duke Mathematical Journal, 5 (2),
June, 1939 |
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“A Proof that Every Uniformly Convex Space is Reflexive”
in
Duke Mathematical Journal, 5 (2),
June 1939 |
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“Linear Operations Among Summable Functions,” in
Proceedings from the National Academy of
Sciences, 25 (10),
October, 1939 |
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“Linear Operations on Summable Functions,”
Transactions of the American Mathematical
Society, 47 (3),
May, 1940 |
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“On Continuity and Openness of Homomorphisms in
Topological Groups,” in
Annals of Mathematics, 52 (2),
September 1950 |
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“Remarks on a Theorem of E. J. McShane” in
Proceedings of the American Mathematical
Society, 2 (1),
February, 1951 |
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“On the Continuity of Parametric Linear Operations” in
Proceedings of the American Mathematical
Society, 2 (3),
June, 1951 |
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“On the Extension of Measures” in
Annals of Mathematics, 54 (1),
July, 1951 |
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“Uniform Cauchy Points and Points of Equicontinuity” in
American Journal of Mathematics,
73 (3),
July, 1951 |
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“Notes on Measure Theorey: Part 1. Lattices and Lattice
Functionals,” Technical Report No. 2, Prepared under Contract N7-ONR-434 Task
Order III for Office of Naval Research. Department of Mathematicas, Tulane
University
August 1, 1951 |
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“A Note on Everywhere Dense Subgroups,”
Proceedings of the American Mathematical
Society, 3 (2),
April, 1952 |
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“Comments on Open Homomorphisms,” in
Proceedings of the American Mathematical
Society, 8 (3),
June, 1957 |
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“On a Vector Space Construction by Hausdorff,” in
Proceedings of the American Mathematical
Society, 8 (3),
June, 1957 |
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“A Comment on Compactness,” in
American Mathematical Monthly, 75
(5),
May, 1968 |
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“Award for Distinguished Service to Professor Edward G.
Begle,” in
American Mathematical Monthly, 76
(1),
January, 1969 |
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“Cluster Sets of Nets,” in Proceedings of the
American Mathematical Society, 22
(2),
August, 1969 |
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“On Nikaidô’s proof of the invariant mean-value
theorem,” in
Studia Mathematica, T. XXXIII,
1969 |
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“On Some Theorems of Sierpinski on Subalgebras of
Booleans [sigma]-Rings” in
Bulletin de L’Academie Polonaise des
Sciences, 19 (7),
1971 |
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“Closed Graph and Open Mapping Theorems in Certain
Topologically Complete Spaces,” in
Bull. London Math. Soc., 6
[includes typescript with corrections and annotated preprint],
1974 |
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“Addition to the Note: Closed Graph and Open Mapping
Theorems in Certain Topologically Complete Spaces,” in
Bull. London Math. Soc., 7,
1975 |
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Works not by Pettis: |
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| 4RM139 |
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Reprints [with annotations by Pettis]: |
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“Théorie des sous – Mesures application a l’intégration
vectorielle” by Jean-Claude Massé [includes correspondence],
1974-1975 and undated |
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American Mathematical Monthly
8(4), April 1973 [includes mathematical notes],
1951, 1973 and undated |
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“On Infinite-dimensional Linear Spaces” by G. W. Mackey,
1945 |
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“Prolongement des Mesures Vectorielles” by Gr. Arsene
and S. Stratila,
1965 |
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“Applications of Almost Periodic Compactifications” by
Karel Deleeuw and Irving Glicksburg,
1961 and undated |
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“Stefan Banach - exposé fait par M. H. Steinhaus le 4
septembre 1960 à Varsovie à l’occasion de la Conférence de l’Analyse
Fonctionnelle,”
1960 |
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“Generalized Means” by F. B. Wright in
Transactions of the AMS, 98 (2),
187-203,
1961 |
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Proceedings on the Symposium on Spectral
Theory and Differential Problems,
1951 and undated |
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Assorted reprints [photocopies],
1957-1972 |
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Lecture notes: |
| box |
| 4RM139 |
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Carl Pearcy [“Some Recent Developments in Operator
Theory”],
undated |
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| 4RM166 |
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Rings of operators notes by Irving Kaplansky,
1955 |
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Topological algebra notes by Irving Kaplansky,
1952 and undated |
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“The Revolution in Mathematics” by Marshall Stone,
1961 |
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G. Whaples [includes algebraic number theory and class
field theory lectures],
1964-1965 and undated |
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Subject files: |
| box |
| 4RM166 |
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Closed graphs, etc.,
1970-1973 and undated |
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Cluster sets,
1948, 1971 and undated |
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Continuity stuff [includes correspondence with H. E.
White, Jr., a reprint of “On the Continuity of Parametric Linear Operations” by
Pettis, and mathematical work],
1951-1972 and undated |
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Difference theorems,
1977-1978 and undated |
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Differentiation,
1968-1971 and undated |
| box |
| 4RM138 |
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Generalized convexity,
1956-1973 and undated |
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Integration,
1973 and undated |
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| 4RM167 |
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Pettis memorial [includes biographical information],
1978-1979 and undated |
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| 4RM167 |
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Pettis conference [includes correspondence],
1979-1980 and undated |
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| 4RM138 |
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La Géométrie des Groupes Classiques by
Jean Dieudonné [photocopy],
1963 |
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| 4RM138 |
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[Unfoldered mathematical notes],
1967-1977 and undated |
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| 4RM167 |
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Index cards of bibliographic citations [some include
annotations, approximately 3 inches],
undated |
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