Title of article
Infimal convolution in Efimov–Steˇckin Banach spaces
Author/Authors
M. Fabian 1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
5
From page
735
To page
739
Abstract
Let (X, · ) be a reflexive Banach space with Kadec–Klee norm. Let f : X→(−∞,+∞] be a function which is either Lipschitzian
or is proper, bounded below, and lower semi-continuous. Then f is supported from below by residually many parabolas
opening downward, that is, the infimal convolution of · 2 and f is attained at residually many points of X.
© 2007 Elsevier Inc. All rights reserved
Keywords
Kadec–Klee norm , Variational principle , Infimal convolution , Reflexive Banach space
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936657
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