On $${\phi}$$ -contractibility of the Lebesgue–Fourier algebra of a locally compact group

Alaghmandan, Mahmood; Nasr-Isfahani, Rasoul; Nemati, Mehdi

doi:10.1007/s00013-010-0177-2

Cited by 9 publications

(7 citation statements)

References 14 publications

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“…By [2], every pseudo-contractible Banach algebra A is φ−contractible, for each φ ∈ Ω(A). Thus the following result is obtained from Proposition 3.1.…”

Section: Resultsmentioning

confidence: 99%

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Pseudo-contractibility Of Weighted Lp -Algebras

Abtahi

2013

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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“…By [2], every pseudo-contractible Banach algebra A is φ−contractible, for each φ ∈ Ω(A). Thus the following result is obtained from Proposition 3.1.…”

Section: Resultsmentioning

confidence: 99%

“…The notion of φ−contractibility of A was laid by Hu, Monfared, and Traynor [17]. Furthermore it has been investigated φ−contractibility of some classes of Banach algebras; see for example [2].…”

mentioning

confidence: 99%

Pseudo-contractibility Of Weighted Lp -Algebras

Abtahi

2013

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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“…Proof. This follows from Corollary 2.4, together with the fact that any pseudo-contractible Banach algebra is φ-contractible; see [3], Theorem 1.1.…”

Section: Corollary 24mentioning

confidence: 93%

Separating maps between commutative Banach algebras

Alaghmandan,

Nasr-Isfahani,

Nemati

2011

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Let A and B be Banach algebras. A linear map T : A → B is called separating or disjointness preserving if ab = 0 implies T a T b = 0 for all a, b ∈ A. In this paper, we study a new class of regular Tauberian algebras and prove that some well-known Banach algebras in harmonic analysis belong to this class. We show that a bijective separating map between these algebras turns out to be continuous and the maximal ideal spaces of underlying algebras are homeomorphic. By imposing extra conditions on these algebras, we find a more thorough characterization of separating maps. The existence of a bijective separating map also leads to the existence of an algebraic isomorphism in some cases.

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“…It follows that M E(D λ ) ( 1 (G p λ )) is a contractible Banach algebra. Now by [9, Proposition 2.1], we conclude that 1 …”

Section: Proposition 23 Letmentioning

confidence: 93%

Pseudo-contractibility and pseudo-amenability of semigroup algebras

Essmaili¹,

Rostami

Medghalchi³

2011

Arch. Math.

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In this paper, we characterize pseudo-contractibility of 1 (S), where S is a uniformly locally finite inverse semigroup. As a consequence, we show that for a Brandt semigroup S = M 0 (G, I), the semigroup algebra 1 (S) is pseudo-contractible if and only if G and I are finite. Moreover, we study the notions of pseudo-amenability and pseudo-contractibility of a semigroup algebra 1 (S) in terms of the amenability of S. Mathematics Subject Classification (2000). Primary 43A20, 20M18; Secondary 16E40.

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On $${\phi}$$ -contractibility of the Lebesgue–Fourier algebra of a locally compact group

Abstract: For a locally compact group G, we present some characterizations for φ-contractibility of the Lebesgue-Fourier algebra LA(G) endowed with convolution or pointwise product. Mathematics Subject Classification (2000). Primary 43A07; Secondary 46H05.

Cited by 9 publications

References 14 publications

Pseudo-contractibility Of Weighted Lp -Algebras

Pseudo-contractibility Of Weighted Lp -Algebras

Separating maps between commutative Banach algebras

Pseudo-contractibility and pseudo-amenability of semigroup algebras

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