LAUSR

On the Factorization of Matrices Over Commutative Banach Algebras

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1 Published in 2018 at "Integral Equations and Operator Theory"

DOI: 10.1007/s00020-018-2436-8

Abstract: Let A be a commutative unital complex Banach algebra and let $$GL_n(A)$$GLn(A) be the group of invertible $$n\times n$$n×n matrices with entries in A. In this paper we study the problem of the representation of… read more here.

Keywords: matrices commutative; banach algebras; factorization matrices; banach ... See more keywords

Mean Ergodic Theorems for Multipliers on Banach Algebras

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1 Published in 2019 at "Journal of Fourier Analysis and Applications"

DOI: 10.1007/s00041-017-9587-x

Abstract: Let A be a complex commutative semisimple Banach algebra. In this paper, we study some ergodic properties of Cesàro bounded multipliers on A. The results are linked to the sets of synthesis and the main… read more here.

Keywords: theorems multipliers; multipliers banach; banach algebras; mean ergodic ... See more keywords

Representable extensions of positive functionals and hermitian Banach *-algebras

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0 Published in 2019 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-018-00908-z

Abstract: We present a general extension theorem for representable positive linear functionals defined on a *-subalgebra of an arbitrary *-algebra. The case of pure positive functionals is an improvement of the results from some previous works… read more here.

Keywords: banach algebras; positive functionals; representable extensions; extensions positive ... See more keywords

Factorization in ordered Banach algebras

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0 Published in 2017 at "Positivity"

DOI: 10.1007/s11117-016-0452-y

Abstract: We present multiplicative factorizations of positive elements in decomposing ordered Banach algebras. In order to apply strong factorization results to the Wiener algebra, we introduce the concept of semi-strongly decomposing algebras. Several applications are considered;… read more here.

Keywords: factorization ordered; ordered banach; banach algebras;

Ordered Banach algebras and multi-norms: some open problems

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1 Published in 2017 at "Positivity"

DOI: 10.1007/s11117-017-0488-7

Abstract: This is a list of open problems posed at the workshop on Ordered Banach Algebras held at the Lorentz Center, Leiden, during the week 21–25 July, 2014. read more here.

Keywords: ordered banach; multi norms; banach algebras; open problems ... See more keywords

Bihom derivations in Banach algebras

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0 Published in 2019 at "Journal of Fixed Point Theory and Applications"

DOI: 10.1007/s11784-019-0722-y

Abstract: In this paper, we introduce bihom derivations in complex Banach algebras. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of bihom derivations in complex Banach algebras, associated with the… read more here.

Keywords: vert; bihom derivations; banach algebras; derivations banach ... See more keywords

Ulam stability of bihomomorphisms and biderivations in Banach algebras

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0 Published in 2020 at "Journal of Fixed Point Theory and Applications"

DOI: 10.1007/s11784-020-0766-z

Abstract: Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of biderivations and bihomomorphisms in Banach algebras and unital $$C^*$$ C ∗ -algebras, associated with the bi-additive functional inequality: 1 $$\begin{aligned}&\Vert… read more here.

Keywords: bihomomorphisms biderivations; banach algebras; stability bihomomorphisms; biderivations banach ... See more keywords

Truncation and Spectral Variation in Banach Algebras

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1 Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.07.003

Abstract: Abstract Let a and b be elements of a semisimple, complex and unital Banach algebra A. Using subharmonic methods, we show that if the spectral containment σ ( a x ) ⊆ σ ( b… read more here.

Keywords: spectral containment; truncation spectral; variation banach; banach algebras ... See more keywords

A Unified Approach to the Arens Regularity and Related Problems for a Class of Banach Algebras Associated With Locally Compact Groups

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1 Published in 2021 at "Quarterly Journal of Mathematics"

DOI: 10.1093/qmath/haab005

Abstract: Based on Katznelson–Tzafriri Theorem on power bounded operators, we prove in this paper a theorem, which applies to the most of the classical Banach algebras of harmonic analysis associated with locally compact groups, to deal… read more here.

Keywords: compact groups; associated locally; banach algebras; banach ... See more keywords

Multiplicative (generalized)-reverse derivations in rings and Banach algebras

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0 Published in 2023 at "Georgian Mathematical Journal"

DOI: 10.1515/gmj-2023-2024

Abstract: Abstract In this work, the subject of ideal in a semiprime ring with multiplicative (generalized)- reverse derivations studied is included. We give new essential results for researchers in this field and generalize some results found… read more here.

Keywords: multiplicative generalized; derivations rings; reverse derivations; banach algebras ... See more keywords

More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism

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1 Published in 2017 at "Mathematica Slovaca"

DOI: 10.1515/ms-2017-0087

Abstract: Abstract For two Banach algebras A and B, the T-Lau product A×T B, was recently introduced and studied for some bounded homomorphism T : B → A with ∥T∥ ≤ 1. Here, we give general… read more here.

Keywords: cyclic amenability; product; banach algebras; lau product ... See more keywords