Numerical index with respect to an operator

Mohammad Ali Ardalani

Studia Mathematica (2014)

  • Volume: 225, Issue: 2, page 165-171
  • ISSN: 0039-3223

Abstract

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We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.

How to cite

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Mohammad Ali Ardalani. "Numerical index with respect to an operator." Studia Mathematica 225.2 (2014): 165-171. <http://eudml.org/doc/285728>.

@article{MohammadAliArdalani2014,
abstract = {We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.},
author = {Mohammad Ali Ardalani},
journal = {Studia Mathematica},
keywords = {numerical range; numerical radius; numerical index; spear},
language = {eng},
number = {2},
pages = {165-171},
title = {Numerical index with respect to an operator},
url = {http://eudml.org/doc/285728},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Mohammad Ali Ardalani
TI - Numerical index with respect to an operator
JO - Studia Mathematica
PY - 2014
VL - 225
IS - 2
SP - 165
EP - 171
AB - We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.
LA - eng
KW - numerical range; numerical radius; numerical index; spear
UR - http://eudml.org/doc/285728
ER -

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