TABLE OF CONTENTS
Descriptive Summary
Biographical Note
Scope and Contents
Restrictions
Index Terms
Administrative Information
Description of Series
General correspondence, 1975, undated
Works by Pettis
Works not by Pettis
Lecture notes
Subject files
Pettis memorial [includes biographical information], 19781979, undated
Pettis conference [includes correspondence], 19791980, undated
La Géométrie des Groupes Classiques by Jean Dieudonné [photocopy], 1963
[Unfoldered mathematical notes], 19671977, undated
Index cards of bibliographic citations [some include annotations, approximately 3 inches], undated

B. J. Pettis Papers, 19381980





Creator: 
Pettis, Billy James. 

Title: 
B. J. Pettis papers 

Dates:  19381980 


Abstract: 
Billy James (B. J.) Pettis (19131979) 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. 

Identification: 
urn:taro:utexas.cah.00454 

Extent: 
1.5 linear feet 

Language: 
English
. 

Repository: 
Dolph Briscoe Center for American History,
The University of Texas at Austin 
Billy James (B. J.) Pettis (19131979) 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 OrliczPettis Theorem, the DunfordPettis Theorem, and the Pettis Theorem on Measurability.
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This collection primarily consists of annotated reprints, mathematical notes, lecture notes, and subject files.
Forms part of the Archives of American Mathematics.
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Conditions Governing Access
This collection is open for research.
Conditions Governing Use
There are no use restrictions on this collection. Publisher is responsible for complying with copyright law.
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Personal Names 


Pettis, Billy James. 

Corporate Names 


University of North Carolina at Chapel Hill. Department of Mathematics 
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B. J. Pettis Papers, Archives of American Mathematics, Dolph Briscoe Center for American History, The University of Texas at Austin.
2005204
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box 
4RM139 [SRH1230024853] 

General correspondence, 1975, undated 
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Works by Pettis 
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4RM139 [SRH1230024853] 


"Closed Graph and Open Mapping Theorem in Metrically Complete Spaces" [includes drafts and notes], undated 



Duke talk, "Open Mapping and Closed Graph Theorems; or Ancient Monuments Revisited," North Carolina Analysis Colloquium [includes draft copies and notes], 19711975, undated 



"On Some Theorems of Sierpinski on Subalgebras of Boolean σRings" by B. J. Pettis [annotated reprint with separate notes], 1970, undated 
box 
4RM167 [SRH1230024881] 


"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 



"On the RadonNikodym Theorem" [typescript], undated 



"Open Homomorphisms via Somewhere Denseness" [typescript], undated 



"Some Topological Questions Related to Open Mapping and Closed Graph Theorems" in Studies in Topology, New York: Academic Press, Inc., 1975 



Reprints 




"A Note on Regular Banach Spaces," in Bulletin of the American Mathematical Society
, June 1938 




"Linear Functions and Completely Additive Set Functions," in Duke Mathematical Journal, 4 (3), September, 1938 




"On Integration in Vector Spaces," in Transactions of the American Mathematical Society, 44 (2), September 1938 




"Differentiation in Banach Spaces," in Duke Mathematical Journal, 5 (2), June, 1939 




"A Proof that Every Uniformly Convex Space is Reflexive" in Duke Mathematical Journal, 5 (2), June 1939 




"Linear Operations Among Summable Functions," in Proceedings from the National Academy of Sciences, 25 (10), October, 1939 




"Linear Operations on Summable Functions," Transactions of the American Mathematical Society, 47 (3), May, 1940 




"On Continuity and Openness of Homomorphisms in Topological Groups," in Annals of Mathematics, 52 (2), September 1950 




"Remarks on a Theorem of E. J. McShane" in Proceedings of the American Mathematical Society, 2 (1), February, 1951 




"On the Continuity of Parametric Linear Operations" in Proceedings of the American Mathematical Society, 2 (3), June, 1951 




"On the Extension of Measures" in Annals of Mathematics, 54 (1), July, 1951 




"Uniform Cauchy Points and Points of Equicontinuity" in American Journal of Mathematics, 73 (3), July, 1951 




"Notes on Measure Theorey: Part 1. Lattices and Lattice Functionals," Technical Report No. 2, Prepared under Contract N7ONR434 Task Order III for Office of Naval Research. Department of Mathematicas, Tulane University, August 1, 1951 




"A Note on Everywhere Dense Subgroups," Proceedings of the American Mathematical Society, 3 (2), April, 1952 




"Comments on Open Homomorphisms," in Proceedings of the American Mathematical Society, 8 (3), June, 1957 




"On a Vector Space Construction by Hausdorff," in Proceedings of the American Mathematical Society, 8 (3), June, 1957 




"A Comment on Compactness," in American Mathematical Monthly, 75 (5), May, 1968 




"Award for Distinguished Service to Professor Edward G. Begle," in American Mathematical Monthly, 76 (1), January, 1969 




"Cluster Sets of Nets," in Proceedings of the American Mathematical Society, 22 (2), August, 1969 




"On Nikaidô's proof of the invariant meanvalue theorem," in Studia Mathematica, T. XXXIII, 1969 




"On Some Theorems of Sierpinski on Subalgebras of Booleans [sigma]Rings" in Bulletin de L'Academie Polonaise des Sciences, 19 (7), 1971 




"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 




"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 
box 
4RM139 [SRH1230024853] 


Reprints [with annotations by Pettis] 




"Théorie des sous – Mesures application a l'intégration vectorielle" by JeanClaude Massé [includes correspondence], 19741975, undated 




American Mathematical Monthly 8(4), April 1973 [includes mathematical notes], 1951, 1973, undated 




"On Infinitedimensional Linear Spaces" by G. W. Mackey, 1945 




"Prolongement des Mesures Vectorielles" by Gr. Arsene and S. Stratila, 1965 




"Applications of Almost Periodic Compactifications" by Karel Deleeuw and Irving Glicksburg, 1961, undated 




"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 




"Generalized Means" by F. B. Wright in Transactions of the AMS, 98 (2), 187203, 1961 




Proceedings on the Symposium on Spectral Theory and Differential Problems
, 1951, undated 




Assorted reprints [photocopies], 19571972 
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Lecture notes 
box 
4RM139 [SRH1230024853] 


Carl Pearcy ["Some Recent Developments in Operator Theory"], undated 
box 
4RM166 [SRH1230024880] 


Rings of operators notes by Irving Kaplansky, 1955 



Topological algebra notes by Irving Kaplansky, 1952, undated 



"The Revolution in Mathematics" by Marshall Stone, 1961 



G. Whaples [includes algebraic number theory and class field theory lectures], 19641965, undated 
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Subject files 
box 
4RM166 [SRH1230024880] 


Closed graphs, etc., 19701973, undated 



Cluster sets, 1948, 1971, undated 



Continuity stuff [includes correspondence with H. E. White, Jr., a reprint of "On the Continuity of Parametric Linear Operations" by Pettis, and mathematical work], 19511972, undated 



Difference theorems, 19771978, undated 



Differentiation, 19681971, undated 
box 
4RM138 [SRH1230024852] 


Generalized convexity, 19561973, undated 



Integration, 1973, undated 
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box 
4RM167 [SRH1230024881] 

Pettis memorial [includes biographical information], 19781979, undated 
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box 
4RM167 [SRH1230024881] 

Pettis conference [includes correspondence], 19791980, undated 
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box 
4RM138 [SRH1230024852] 

La Géométrie des Groupes Classiques by Jean Dieudonné [photocopy], 1963 
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box 
4RM138 [SRH1230024852] 

[Unfoldered mathematical notes], 19671977, undated 
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box 
4RM167 [SRH1230024881] 

Index cards of bibliographic citations [some include annotations, approximately 3 inches], undated 
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