Separable reductions and rich families in theory of Fréchet subdifferentials

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00452804" target="_blank" >RIV/67985840:_____/15:00452804 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Separable reductions and rich families in theory of Fréchet subdifferentials

Original language description

We consider important properties of Fréchet subdifferentials, in particular: the non-emptiness of subdifferentials, the non-zeroness of normal cones, the fuzzy calculus, and the extremal principle; all statements being considered in Fréchet sense. Givena nonseparable Banach space X, we show how the validity of these statements is implied by the validity of them in every separable subspace of X. Such a reasoning is called ?separable reduction. We show that, behind this approach, there is a modern and powerful concept of rich subfamily of the family of all separable subspaces of X.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Variational Analysis and its Applications

ISBN

978-80-7378-288-7

ISSN

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e-ISSN

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Number of pages

39

Pages from-to

1-39

Publisher name

Matfyzpress

Place of publication

Praha

Event location

Paseky nad Jizerou

Event date

Apr 19, 2015

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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