Reflexivity and hyperreflexivity of the space of locally intertwining operators

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00346986" target="_blank" >RIV/67985840:_____/10:00346986 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Reflexivity and hyperreflexivity of the space of locally intertwining operators

Original language description

An operator S is a local intertwiner of operators A and B at vector e if SAe = BSe. We characterize the spaces of all local intertwiners I(A, B; e) that are reflexive (hyperreflexive). We show that in all interesting cases the reflexivity (hyperreflexivity) of I(A, B; e) depends only on B and is independent of A and e. This has consequences concerning the reflexivity of the space of intertwiners I(A, B) and of the commutant of an operator.

Czech name

—

Czech description

—

Type

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

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

—

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Name of the periodical

Journal of Operator Theory

ISSN

0379-4024

e-ISSN

—

Volume of the periodical

63

Issue of the periodical within the volume

1

Country of publishing house

RO - ROMANIA

Number of pages

14

Pages from-to

—

UT code for WoS article

000277921600004

EID of the result in the Scopus database

—