Linear maps preserving equivalence or asymptotic equivalence on Banach space
Linear maps preserving equivalence or asymptotic equivalence on Banach space
About this item
Full title
Author / Creator
Qin, Zijie and Chen, Lin
Publisher
Warsaw: De Gruyter
Journal title
Language
English
Formats
Publication information
Publisher
Warsaw: De Gruyter
Subjects
More information
Scope and Contents
Contents
Let
be a complex Banach space with dimension at least two and
the algebra of all bounded linear operators on
. We show that a bijective linear map
preserves asymptotic equivalence if and only if it preserves equivalence, and in turn, if and only if there exist invertible bounded linear operators
and
such that either
or
for a...
Alternative Titles
Full title
Linear maps preserving equivalence or asymptotic equivalence on Banach space
Authors, Artists and Contributors
Author / Creator
Identifiers
Primary Identifiers
Record Identifier
TN_cdi_doaj_primary_oai_doaj_org_article_d2dd5a626d954ea99ceaa77335f54882
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_d2dd5a626d954ea99ceaa77335f54882
Other Identifiers
ISSN
2391-5455
E-ISSN
2391-5455
DOI
10.1515/math-2023-0125
