On λ-commuting operators

John B. Conway; Gabriel Prǎjiturǎ

Studia Mathematica (2005)

  • Volume: 166, Issue: 1, page 1-9
  • ISSN: 0039-3223

Abstract

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For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.

How to cite

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John B. Conway, and Gabriel Prǎjiturǎ. "On λ-commuting operators." Studia Mathematica 166.1 (2005): 1-9. <http://eudml.org/doc/284822>.

@article{JohnB2005,
abstract = {For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.},
author = {John B. Conway, Gabriel Prǎjiturǎ},
journal = {Studia Mathematica},
keywords = {-commuting operators; compact operator; finite rank operator},
language = {eng},
number = {1},
pages = {1-9},
title = {On λ-commuting operators},
url = {http://eudml.org/doc/284822},
volume = {166},
year = {2005},
}

TY - JOUR
AU - John B. Conway
AU - Gabriel Prǎjiturǎ
TI - On λ-commuting operators
JO - Studia Mathematica
PY - 2005
VL - 166
IS - 1
SP - 1
EP - 9
AB - For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.
LA - eng
KW - -commuting operators; compact operator; finite rank operator
UR - http://eudml.org/doc/284822
ER -

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