segal algebras
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Segal extensions and Segal algebras in uniform Banach algebras

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-021-00063-2 ◽

2021 ◽

Author(s):

Subhash J. Bhatt ◽

Prakash A. Dabhi

Keyword(s):

Banach Algebras ◽

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The retraction of certain banach right modules associated to a character

Mathematica Slovaca ◽

10.1515/ms-2017-0260 ◽

2019 ◽

Vol 69 (4) ◽

pp. 891-900

Author(s):

Mahshid Dashti ◽

Sima Soltani Renani

Keyword(s):

Banach Algebra ◽

Unital Banach Algebra ◽

Vector Valued ◽

Abstract Let 𝓐 be a Banach algebra and let 𝓜 be a unital Banach algebra. For a homomorphism Φ from 𝓐 into 𝓜, we consider 𝓜 as a Banach right 𝓐-module and investigate when 𝓜 is a retract of 𝓐 with respect to Φ. We also give characterizations of admitting vector-valued invariant Φ-means in terms of projectivity and injectivity. Finally, we apply these results to abstract Segal algebras.

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Invariant $\varphi$-means for abstract Segal algebras related to locally compact groups

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1547780429 ◽

2018 ◽

Vol 25 (5) ◽

pp. 687-698

Author(s):

Hossein Javanshiri ◽

Mehdi Nemati

Keyword(s):

Locally Compact Groups ◽

Compact Groups ◽

Locally Compact ◽

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Generalization of Segal algebras for arbitrary topological algebras

Periodica Mathematica Hungarica ◽

10.1007/s10998-017-0222-z ◽

2017 ◽

Vol 77 (1) ◽

pp. 58-68 ◽

Author(s):

Mart Abel

Keyword(s):

Topological Algebras ◽

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Homological properties of banach modules over abstract segal algebras

Mathematica Slovaca ◽

10.1515/ms-2016-0257 ◽

2017 ◽

Vol 67 (1) ◽

pp. 191-198

Author(s):

Rasoul Nasr-Isfahani ◽

Mehdi Nemati ◽

Sima Soltani Renani

Keyword(s):

Locally Compact Groups ◽

Compact Groups ◽

Locally Compact ◽

Banach Modules ◽

Abstract We study projectivity and injectivity for Banach modules over abstract Segal algebras. We then apply these results to abstract Segal algebras related to locally compact groups.

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A characterization of biflatness of Segal algebras based on a character

Glasnik Matematicki ◽

10.3336/gm.51.1.04 ◽

2016 ◽

Vol 51 (1) ◽

pp. 45-58 ◽

Author(s):

Morteza Essmaili ◽

◽

Mehdi Rostami ◽

Massoud Amini ◽

◽

...

Keyword(s):

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On an intrinsic characterization of self-adjoint $C^\ast $-Segal algebras

Colloquium Mathematicum ◽

10.4064/cm6774-4-2016 ◽

2016 ◽

Author(s):

Subhash J. Bhatt ◽

Prakash A. Dabhi

Keyword(s):

Intrinsic Characterization ◽

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C∗-Segal Algebras with Order Unit, II

Quaestiones Mathematicae ◽

10.2989/16073606.2015.1015649 ◽

2015 ◽

Vol 38 (6) ◽

pp. 849-867

Author(s):

Jukka Kauppi ◽

Jussi Mattas

Keyword(s):

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$p$-Operator space structure on Feichtinger-Figa-Talamanca-Herz Segal algebras

Journal of Operator Theory ◽

10.7900/jot.2014apr30.2046 ◽

2015 ◽

Vol 74 (1) ◽

pp. 45-74 ◽

Author(s):

Serap Oztop ◽

Nico Spronk

Keyword(s):

Space Structure ◽

Operator Space ◽

Operator Space Structure ◽

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Approximate Amenability of Segal Algebras II

Canadian Mathematical Bulletin ◽

10.4153/cmb-2014-038-3 ◽

2015 ◽

Vol 58 (1) ◽

pp. 3-6 ◽

Author(s):

Mahmood Alaghmandan

Keyword(s):

Segal Algebra ◽

Approximate Amenability ◽

AbstractWe prove that no proper Segal algebra of a SIN group is approximately amenable.

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