A note on compact semiderivations

Matej Brešar; Yuri Turovskii

Banach Center Publications (2005)

  • Volume: 67, Issue: 1, page 133-137
  • ISSN: 0137-6934

Abstract

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Let 𝓐 be a Banach algebra without nonzero finite dimensional ideals. Then every compact semiderivation on 𝓐 is a quasinilpotent operator mapping 𝓐 into its radical.

How to cite

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Matej Brešar, and Yuri Turovskii. "A note on compact semiderivations." Banach Center Publications 67.1 (2005): 133-137. <http://eudml.org/doc/281973>.

@article{MatejBrešar2005,
abstract = {Let 𝓐 be a Banach algebra without nonzero finite dimensional ideals. Then every compact semiderivation on 𝓐 is a quasinilpotent operator mapping 𝓐 into its radical.},
author = {Matej Brešar, Yuri Turovskii},
journal = {Banach Center Publications},
keywords = {semiderivation; compactness; quasinilpotency},
language = {eng},
number = {1},
pages = {133-137},
title = {A note on compact semiderivations},
url = {http://eudml.org/doc/281973},
volume = {67},
year = {2005},
}

TY - JOUR
AU - Matej Brešar
AU - Yuri Turovskii
TI - A note on compact semiderivations
JO - Banach Center Publications
PY - 2005
VL - 67
IS - 1
SP - 133
EP - 137
AB - Let 𝓐 be a Banach algebra without nonzero finite dimensional ideals. Then every compact semiderivation on 𝓐 is a quasinilpotent operator mapping 𝓐 into its radical.
LA - eng
KW - semiderivation; compactness; quasinilpotency
UR - http://eudml.org/doc/281973
ER -

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