Linear mappings preserving similarity on B(H)

Tatjana Petek

Studia Mathematica (2004)

  • Volume: 161, Issue: 2, page 177-186
  • ISSN: 0039-3223

Abstract

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Let H be an infinite-dimensional complex Hilbert space. We give a characterization of surjective linear mappings on B(H) that preserve similarity in both directions.

How to cite

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Tatjana Petek. "Linear mappings preserving similarity on B(H)." Studia Mathematica 161.2 (2004): 177-186. <http://eudml.org/doc/284710>.

@article{TatjanaPetek2004,
abstract = {Let H be an infinite-dimensional complex Hilbert space. We give a characterization of surjective linear mappings on B(H) that preserve similarity in both directions.},
author = {Tatjana Petek},
journal = {Studia Mathematica},
keywords = {Hilbert space; similarity-preserving mapping},
language = {eng},
number = {2},
pages = {177-186},
title = {Linear mappings preserving similarity on B(H)},
url = {http://eudml.org/doc/284710},
volume = {161},
year = {2004},
}

TY - JOUR
AU - Tatjana Petek
TI - Linear mappings preserving similarity on B(H)
JO - Studia Mathematica
PY - 2004
VL - 161
IS - 2
SP - 177
EP - 186
AB - Let H be an infinite-dimensional complex Hilbert space. We give a characterization of surjective linear mappings on B(H) that preserve similarity in both directions.
LA - eng
KW - Hilbert space; similarity-preserving mapping
UR - http://eudml.org/doc/284710
ER -

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