Normalisers, nest algebras and tensor products

M. McGarvey; Ivan Todorov

Normalisers, nest algebras and tensor products

M. McGarvey, Ivan Todorov

Research output: Contribution to journal › Article › peer-review

Abstract

We show that if $\cl A$ is the tensor product of finitely many continuous nest algebras, $\cl B$ is a CDCSL algebra and $\cl A$ and $\cl B$ have the same normaliser semi-group then either $\cl A = \cl B$ or $\cl A^* = \cl B$.

Original language	English
Pages (from-to)	141-149
Number of pages	9
Journal	Contemporary Mathematics
Volume	503
Publication status	Published - 2009

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title = "Normalisers, nest algebras and tensor products",

abstract = "We show that if $\cl A$ is the tensor product of finitely many continuous nest algebras, $\cl B$ is a CDCSL algebra and $\cl A$ and $\cl B$ have the same normaliser semi-group then either $\cl A = \cl B$ or $\cl A^* = \cl B$.",

author = "M. McGarvey and Ivan Todorov",

year = "2009",

language = "English",

volume = "503",

pages = "141--149",

journal = "Contemporary Mathematics",

issn = "0271-4132",

publisher = "American Mathematical Society",

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T1 - Normalisers, nest algebras and tensor products

AU - McGarvey, M.

AU - Todorov, Ivan

PY - 2009

Y1 - 2009

N2 - We show that if $\cl A$ is the tensor product of finitely many continuous nest algebras, $\cl B$ is a CDCSL algebra and $\cl A$ and $\cl B$ have the same normaliser semi-group then either $\cl A = \cl B$ or $\cl A^* = \cl B$.

AB - We show that if $\cl A$ is the tensor product of finitely many continuous nest algebras, $\cl B$ is a CDCSL algebra and $\cl A$ and $\cl B$ have the same normaliser semi-group then either $\cl A = \cl B$ or $\cl A^* = \cl B$.

M3 - Article

VL - 503

SP - 141

EP - 149

JO - Contemporary Mathematics

JF - Contemporary Mathematics

SN - 0271-4132

ER -

Normalisers, nest algebras and tensor products

Abstract

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