Locally spectrally bounded linear maps
Mathematica Bohemica (2011)
- Volume: 136, Issue: 1, page 81-89
- ISSN: 0862-7959
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topBendaoud, M., and Sarih, M.. "Locally spectrally bounded linear maps." Mathematica Bohemica 136.1 (2011): 81-89. <http://eudml.org/doc/196805>.
@article{Bendaoud2011,
abstract = {Let $\{\mathcal \{L\}\}(\{\mathcal \{H\}\})$ be the algebra of all bounded linear operators on a complex Hilbert space $\{\mathcal \{H\}\}$. We characterize locally spectrally bounded linear maps from $\{\mathcal \{L\}\}(\{\mathcal \{H\}\})$ onto itself. As a consequence, we describe linear maps from $\{\mathcal \{L\}\}(\{\mathcal \{H\}\})$ onto itself that compress the local spectrum.},
author = {Bendaoud, M., Sarih, M.},
journal = {Mathematica Bohemica},
keywords = {local spectrum; local spectral radius; linear preservers; local spectrum; local spectral radius; linear preservers},
language = {eng},
number = {1},
pages = {81-89},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Locally spectrally bounded linear maps},
url = {http://eudml.org/doc/196805},
volume = {136},
year = {2011},
}
TY - JOUR
AU - Bendaoud, M.
AU - Sarih, M.
TI - Locally spectrally bounded linear maps
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 1
SP - 81
EP - 89
AB - Let ${\mathcal {L}}({\mathcal {H}})$ be the algebra of all bounded linear operators on a complex Hilbert space ${\mathcal {H}}$. We characterize locally spectrally bounded linear maps from ${\mathcal {L}}({\mathcal {H}})$ onto itself. As a consequence, we describe linear maps from ${\mathcal {L}}({\mathcal {H}})$ onto itself that compress the local spectrum.
LA - eng
KW - local spectrum; local spectral radius; linear preservers; local spectrum; local spectral radius; linear preservers
UR - http://eudml.org/doc/196805
ER -
References
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