On strongly condensing operators

0470372 - MÚ 2018 RIV DE eng J - Journal Article
Erzakova, N.A. - Väth, Martin
On strongly condensing operators.
Annali di Matematica Pura ed Applicata. Roč. 196, č. 1 (2017), s. 309-323. ISSN 0373-3114. E-ISSN 1618-1891
Institutional support: RVO:67985840
Keywords : asymptotic derivative * compactness * Fréchet derivative
OECD category: Pure mathematics
Impact factor: 1.066, year: 2017
http://link.springer.com/article/10.1007%2Fs10231-016-0573-8

Given a set-function ... defined on bounded subsets of a Banach space with certain properties, necessary and sufficient criteria for ... are given, when A is positively homogeneous of some order and U is bounded. The results are applied to give necessary and sufficient criteria for the compactness and weak compactness of a Fréchet derivative (in some point or at ...) and when an operator is improving.
Permanent Link: http://hdl.handle.net/11104/0268030