Some equivalent metrics for bounded normal operators

Mohammad Reza Jabbarzadeh; Rana Hajipouri

Mathematica Bohemica (2018)

  • Volume: 143, Issue: 2, page 201-212
  • ISSN: 0862-7959

Abstract

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Some stronger and equivalent metrics are defined on ℳ , the set of all bounded normal operators on a Hilbert space H and then some topological properties of ℳ are investigated.

How to cite

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Jabbarzadeh, Mohammad Reza, and Hajipouri, Rana. "Some equivalent metrics for bounded normal operators." Mathematica Bohemica 143.2 (2018): 201-212. <http://eudml.org/doc/294608>.

@article{Jabbarzadeh2018,
abstract = {Some stronger and equivalent metrics are defined on $\mathcal \{M\}$, the set of all bounded normal operators on a Hilbert space $H$ and then some topological properties of $\mathcal \{M\}$ are investigated.},
author = {Jabbarzadeh, Mohammad Reza, Hajipouri, Rana},
journal = {Mathematica Bohemica},
keywords = {Hilbert space; normal operator; equivalent metrics; composition operator},
language = {eng},
number = {2},
pages = {201-212},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some equivalent metrics for bounded normal operators},
url = {http://eudml.org/doc/294608},
volume = {143},
year = {2018},
}

TY - JOUR
AU - Jabbarzadeh, Mohammad Reza
AU - Hajipouri, Rana
TI - Some equivalent metrics for bounded normal operators
JO - Mathematica Bohemica
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 143
IS - 2
SP - 201
EP - 212
AB - Some stronger and equivalent metrics are defined on $\mathcal {M}$, the set of all bounded normal operators on a Hilbert space $H$ and then some topological properties of $\mathcal {M}$ are investigated.
LA - eng
KW - Hilbert space; normal operator; equivalent metrics; composition operator
UR - http://eudml.org/doc/294608
ER -

References

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  8. Labrousse, J. P., Quelques topologies sur des espaces d'opérateurs dans des espaces de Hilbert et leurs applications, Faculté des Sciences de Nice (Math.) 1 (1970), 47 pages. (1970) 
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  10. Singh, R. K., Manhas, J. S., Composition Operators on Function Spaces, North-Holland Mathematics Studies 179. North-Holland, Amsterdam (1993). (1993) Zbl0788.47021MR1246562

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