Results 11 to 20 of about 94 (75)

Banach Algebras of Quasi-Triangular Operators Are Spectrally Regular

open access: yesLinear Algebra and Its Applications, 2013
The concept of spectrally regular algebra is introduced in this paper. The subalgebra of bounded operators containing all quasidiagonal operators is considered. It is proven that this subalgebra is spectrally regular. This result is an analogue of the scalar case, concerning analytic functions not having zeros in a given field.
Torsten Ehrhardt, Bernd Silbermann
exaly   +2 more sources

On Weak Generalized Amenability of Triangular Banach Algebras

open access: yesJournal of Mathematical Extension, 2014
Let A1, A2 be unital Banach algebras and X be an A1 − A2− module. Applying the concept of module maps, (inner) module generalized derivations and generalized first cohomology groups, we present several results concerning the relations between module ...
M. Mosadeq
doaj   +1 more source

Characterization of Generalized Derivations Associate with Hochschild 2-Cocycles on Triangular Banach Algebras

open access: yesJournal of Mathematical Extension, 2015
Let A and B be unital Banach algebras and M be a left A-module and right B-module. We consider generalized derivations associate with Hochschild 2-cocycles on triangular Banach algebra T (related to A, B and M).
M. Kanani Arpatapeh∗, A. Jabbari
doaj   +1 more source

Generalized π-Baer *-rings [PDF]

open access: yesJournal of Algebraic Systems, 2023
‎A *-ring‎ ‎$R$ is called a generalized $\pi$-Baer *-ring‎, ‎if for any projection invariant left ideal $Y$ of $R$‎, ‎the right annihilator of $Y^n$‎ ‎is generated‎, ‎as a right ideal‎, ‎by a projection, ‎for some positive integer $n$‎, ‎depending on $Y$‎
Ali Shahidikia, Haimd Haj Seyyed Javadi
doaj   +1 more source

The Banach Algebra of Conservative Triangular Matrices

open access: yesMathematische Zeitschrift, 1982
DeFranza, James, Fleming, Daniel J.
exaly   +3 more sources

Approximate Biprojectivity of ℓ1-Munn Banach Algebras

open access: yesJournal of Mathematics, 2022
In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA.
G. Zarei   +3 more
doaj   +1 more source

On Amenability-Like Properties of a Class of Matrix Algebras

open access: yesJournal of Mathematics, 2022
In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. We show that ℒℳIpℂ is Connes amenable if and only if I is finite, for every nonempty set I.
M. Rostami, S. F. Shariati, A. Sahami
doaj   +1 more source

Factorisation of orthogonal projectors

open access: yesМатематичні Студії, 2021
We study the problem of a special factorisation of an orthogonal projector~$P$ acting in the Hilbert space $L_2(\mathbb R)$ with $\dim\ker ...
N. S. Sushchyk, V. M. Degnerys
doaj   +1 more source

Weak amenability of triangular Banach algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 2001
Let A \mathcal {A} and
Forrest, B. E., Marcoux, L. W.
openaire   +1 more source

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