Non-normal elements in Banach *-algebras

B. Yood

Studia Mathematica (2004)

  • Volume: 160, Issue: 3, page 201-204
  • ISSN: 0039-3223

Abstract

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Let A be a Banach *-algebra with an identity, continuous involution, center Z and set of self-adjoint elements Σ. Let h ∈ Σ. The set of v ∈ Σ such that (h + iv)ⁿ is normal for no positive integer n is dense in Σ if and only if h ∉ Z. The case where A has no identity is also treated.

How to cite

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B. Yood. "Non-normal elements in Banach *-algebras." Studia Mathematica 160.3 (2004): 201-204. <http://eudml.org/doc/285077>.

@article{B2004,
abstract = {Let A be a Banach *-algebra with an identity, continuous involution, center Z and set of self-adjoint elements Σ. Let h ∈ Σ. The set of v ∈ Σ such that (h + iv)ⁿ is normal for no positive integer n is dense in Σ if and only if h ∉ Z. The case where A has no identity is also treated.},
author = {B. Yood},
journal = {Studia Mathematica},
language = {eng},
number = {3},
pages = {201-204},
title = {Non-normal elements in Banach *-algebras},
url = {http://eudml.org/doc/285077},
volume = {160},
year = {2004},
}

TY - JOUR
AU - B. Yood
TI - Non-normal elements in Banach *-algebras
JO - Studia Mathematica
PY - 2004
VL - 160
IS - 3
SP - 201
EP - 204
AB - Let A be a Banach *-algebra with an identity, continuous involution, center Z and set of self-adjoint elements Σ. Let h ∈ Σ. The set of v ∈ Σ such that (h + iv)ⁿ is normal for no positive integer n is dense in Σ if and only if h ∉ Z. The case where A has no identity is also treated.
LA - eng
UR - http://eudml.org/doc/285077
ER -

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