Positive functionals on BP*-algebras

Husain, Taqdir; Warsi, S. A.

doi:10.1007/bf02018042

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Px(xy) ~ M(x)px(y) P~(yz) ~ N(x)px(y)1

Consider the Following: (A) (B)1

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Cited by 6 publications

(3 citation statements)

References 10 publications

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“…This example satisfies the hypothesis of [4], Lemma 5.13. It is an improvement of the counter-example given in [5] where re(A) = ~,…”

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confidence: 70%

See 1 more Smart Citation

On an expression of the spectrum in BP*-algebras

Akkar¹,

Azhari

Oudadess

1988

Period Math Hung

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“…This example satisfies the hypothesis of [4], Lemma 5.13. It is an improvement of the counter-example given in [5] where re(A) = ~,…”

supporting

confidence: 70%

“…The set of all bounded elements of A is denoted by A 0. According to [4], A is said to be bounded if A ~ A 0. Each u.l.A.-c.a, is bounded in the sense of [4].…”

Section: Px(xy) ~ M(x)px(y) P~(yz) ~ N(x)px(y)mentioning

confidence: 99%

On an expression of the spectrum in BP*-algebras

Akkar¹,

Azhari

Oudadess

1988

Period Math Hung

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“…Then (see Husain and Warsi [8], example 35) (A,T) is a unital commutative HausdorfF bounded pseudo-complete locally convex topological algebra. If we consider aeA given by a(x) = -x, then simple calculations show that a is powerbounded with (a") being a null sequence in…”

Section: Consider the Following: (A) (B)mentioning

confidence: 99%

Power-bounded elements and tauberian theorems in locally convex algebras

Hennings¹

1989

Math. Proc. Camb. Phil. Soc.

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The tauberian theorems concerning power-bounded elements of Banach algebras studied by Katznelson and Tzafriri, Allan, O'Farrell and Ransford and Allan are considered, and it is shown that (almost) exactly the same results are true for power-bounded elements in a very large class of locally convex topological algebras, the pseudo-complete algebras. The submultiplicativity of the Banach algebra norm is, for once, inessential to the proof of these theorems.

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Representations of certain*-algebras of smooth functions

Yakovlev

1988

Ukr Math J

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Positive functionals on BP*-algebras

Cited by 6 publications

References 10 publications

On an expression of the spectrum in BP*-algebras

On an expression of the spectrum in BP*-algebras

Power-bounded elements and tauberian theorems in locally convex algebras

Representations of certain*-algebras of smooth functions

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