Topological algebras with dense socle

Tomiuk, B. J.; Yood, Bertram

doi:10.1016/0022-1236(78)90089-7

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Introduction1

Dual Complementors1

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1979

2018

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Cited by 10 publications

(3 citation statements)

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“…We show that A is an annihilator algebra if and only if B is an annihilator algebra and A and B have the same socle which is dense in A. This improves greatly a result by Tomiuk and Yood [7,Theorem 4.5,p. 246].…”

Section: Introductionsupporting

confidence: 72%

A note on annihilator Banach algebras

Wong

1988

Bull. Austral. Math. Soc.

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Section: Introductionsupporting

confidence: 72%

A note on annihilator Banach algebras

Wong

1988

Bull. Austral. Math. Soc.

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“…As our final observation, we will show that [12,Theorem 4.4,p. 263] carries over to semisimple annihilator r.c.…”

Section: Dual Complementorsmentioning

confidence: 66%

Dual complementors on Banach algebras

Tomiuk¹

1988

Proc. Amer. Math. Soc.

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“…(2) =>(1). This follows from[6, p. 262, Theorem 4.2]. Banach algebra which is a dense two-sided ideal in another banach algebraIn this section, A will be a semisimple Banach algebra which is a dense twosided ideal of a semisimple Banach algebra B .Then || ■ || majorizes | • | on A, there exists a constant M such that ||a¿|| < M\\a\\ \b\ and ||¿uz|| < M\\a\\ \b\, for all a in A and b in B, and A and B have the same socle (see [11, p. 78, Lemma 2.1] and [1, p. 3]).…”

mentioning

confidence: 86%