Localizable spectrum and bounded local resolvent functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F08%3A00312820" target="_blank" >RIV/67985840:_____/08:00312820 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Localizable spectrum and bounded local resolvent functions

Original language description

Given a Banach space operator with interior points in the localizable spectrum and without non-trivial divisible subspaces, this article centers around the construction of an infinite-dimensional linear subspace of vectors at which the local resolvent function of the operator is bounded and even admits a continuous extension to the closure of its natural domain.

Czech name

Lokalizovatelné spektrum a ohraničené lokální resolventy

Czech description

Každý operátor, jehož lokalizovatelné spektrum má neprázdný vnitřek má nekonečně dimensionální podprostor vektorů, ve kterých je lokální resolventa ohraničená.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F06%2F0128" target="_blank" >GA201/06/0128: Methods of function theory and Banach algebras in operator theory III.</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

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

Name of the periodical

Archiv der Mathematik

ISSN

0003-889X

e-ISSN

—

Volume of the periodical

91

Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

11

Pages from-to

—

UT code for WoS article

000258716700009

EID of the result in the Scopus database

—