Numerical radius inequalities for Hilbert C * -modules

Sadaf Fakri Moghaddam; Alireza Kamel Mirmostafaee

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 4, page 547-566
  • ISSN: 0862-7959

Abstract

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We present a new method for studying the numerical radius of bounded operators on Hilbert C * -modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert C * -module spaces.

How to cite

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Fakri Moghaddam, Sadaf, and Kamel Mirmostafaee, Alireza. "Numerical radius inequalities for Hilbert $C^{*}$-modules." Mathematica Bohemica 147.4 (2022): 547-566. <http://eudml.org/doc/298846>.

@article{FakriMoghaddam2022,
abstract = {We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert $C^*$-module spaces.},
author = {Fakri Moghaddam, Sadaf, Kamel Mirmostafaee, Alireza},
journal = {Mathematica Bohemica},
keywords = {numerical radius; inner product space; $C^*$-algebra},
language = {eng},
number = {4},
pages = {547-566},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerical radius inequalities for Hilbert $C^\{*\}$-modules},
url = {http://eudml.org/doc/298846},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Fakri Moghaddam, Sadaf
AU - Kamel Mirmostafaee, Alireza
TI - Numerical radius inequalities for Hilbert $C^{*}$-modules
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 4
SP - 547
EP - 566
AB - We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert $C^*$-module spaces.
LA - eng
KW - numerical radius; inner product space; $C^*$-algebra
UR - http://eudml.org/doc/298846
ER -

References

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