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Math. Ann. 312, 445463 (1998) Mathematische
 

Summary: Math. Ann. 312, 445­463 (1998)
Mathematische
Annalen
c Springer-Verlag 1998
Smooth negligibility of compact sets in
infinite-dimensional Banach spaces, with applications
D. Azagra1, T. Dobrowolski2
1
Departamento de An´alisis Matem´atico, Facultad de Ciencias Matem´aticas, Universidad
Complutense, E-28040, Madrid, Spain (e-mail: daniel@sunam1.mat.ucm.es)
2
Department of Mathematics, Pittsburg State University, Pittsburg, KA 66762, USA
(e-mail: tdobrowo@mail.pittstate.edu)
Received: 25 November 1997 / Revised version: 2 April 1998
Mathematics Subject Classification (1991): 46B20, 58B99
1. Introduction
To the best of the authors' knowledge, what one could call negligibility
theory in infinite-dimensional Banach spaces started in 1953 when Victor
L. Klee [22] proved that, if X is either a non-reflexive Banach space or an
infinite-dimensional Lp space and K is a compact subset of X, there exists a

  

Source: Azagra Rueda, Daniel - Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid

 

Collections: Mathematics