Smooth analysis in Banach spaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10284178" target="_blank" >RIV/00216208:11320/14:10284178 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/67985840:_____/14:00436754

Výsledek na webu

<a href="http://dx.doi.org/10.1515/9783110258998" target="_blank" >http://dx.doi.org/10.1515/9783110258998</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/9783110258998" target="_blank" >10.1515/9783110258998</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Smooth analysis in Banach spaces

Popis výsledku v původním jazyce

The purpose of this book is to lay down the foundations for the abstract theory of C^k-smoothness in infinite-dimensional real Banach spaces and investigate its intimate connections with the structural properties of the underlying spaces. The classical Banach spaces c0 and lp play a decisive role throughout the subject. Indeed, the supply and properties of smooth functions on a given Banach space depend heavily on its linear structure. The development of the theory relies on methods and results from thelocal theory of Banach spaces, tensor products, several topological tools, and of course the structural theory of Banach spaces and general analysis. A significant portion of the book deals with various aspects of the theory of polynomials, as polynomials are tightly connected with the higher smoothness via the Taylor and the Converse Taylor theorems. A large part of the theory is also devoted to the study of approximations of continuous mappings by means of mappings with prescribed smo

Název v anglickém jazyce

Smooth analysis in Banach spaces

Popis výsledku anglicky

The purpose of this book is to lay down the foundations for the abstract theory of C^k-smoothness in infinite-dimensional real Banach spaces and investigate its intimate connections with the structural properties of the underlying spaces. The classical Banach spaces c0 and lp play a decisive role throughout the subject. Indeed, the supply and properties of smooth functions on a given Banach space depend heavily on its linear structure. The development of the theory relies on methods and results from thelocal theory of Banach spaces, tensor products, several topological tools, and of course the structural theory of Banach spaces and general analysis. A significant portion of the book deals with various aspects of the theory of polynomials, as polynomials are tightly connected with the higher smoothness via the Taylor and the Converse Taylor theorems. A large part of the theory is also devoted to the study of approximations of continuous mappings by means of mappings with prescribed smo

Druh

B - Odborná kniha

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

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

ISBN

978-3-11-025898-1

Počet stran knihy

513

Název nakladatele

Walter de Gruyter

Místo vydání

Berlin

Kód UT WoS knihy

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