Results 11 to 20 of about 297,006 (207)

Hyers Stability and Multi-Fuzzy Banach Algebra [PDF]

open access: yesMathematics, 2021
In this paper, we define multi-fuzzy Banach algebra and then prove the stability of involution on multi-fuzzy Banach algebra by fixed point method. That is, if f:A→A is an approximately involution on multi-fuzzy Banach algebra A, then there exists an ...
Parvaneh Lo′lo′   +2 more
doaj   +2 more sources

On Fully Stable Banach Algebra Modules and Fully Pesudo Stable Banach Algebra Modules [PDF]

open access: yesمجلة بغداد للعلوم, 2018
The concept of fully pseudo stable Banach Algebra-module (Banach A-module) which is the generalization of fully stable Banach A-module has been introduced.
Baghdad Science Journal
doaj   +4 more sources

Heisenberg-Lie commutation relations in Banach algebras. [PDF]

open access: yes, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob   +1 more
core   +5 more sources

Generators of maximal left ideals in Banach algebras [PDF]

open access: yes, 2012
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
core   +4 more sources

An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]

open access: yes, 2010
We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Alistair Bird   +3 more
core   +4 more sources

Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]

open access: yes, 2002
For a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 < p < \infty$ and $\
Laustsen, Niels J.
core   +4 more sources

Conjugations on Banach $$*$$-algebras

open access: yesAnnals of Functional Analysis, 2020
The notion of conjugation is extended to Banach ∗-algebras. The aim of this paper is to characterize conjugations on the Banach algebra of all bounded linear operators on a complex Hilbert space, the algebra of J-symmetric operators on a complex Hilbert space with given conjugation J and the algebra of all complex valued continuous functions, defined ...
Dijana Ilišević, Marek Ptak
openaire   +2 more sources

Banach Synaptic Algebras [PDF]

open access: yesInternational Journal of Theoretical Physics, 2017
Using a representation theorem of Erik Alfsen, Frederic Schultz, and Erling Stormer for special JB-algebras, we prove that a synaptic algebra is norm complete (i.e., Banach) if and only if it is isomorphic to the self-adjoint part of a Rickart C*-algebra. Also, we give conditions on a Banach synaptic algebra that are equivalent to the condition that it
Foulis, David J., Pulmannov, Sylvia
openaire   +3 more sources

Conditions implying the uniqueness of the weak*-topology on certain group algebras [PDF]

open access: yes, 2009
We investigate possible preduals of the measure algebra M(G) of a locally compact group and the Fourier algebra A(G) of a separable compact group. Both of these algebras are canonically dual spaces and the canonical preduals make the multiplication ...
Daws, M., White, S., lePham, H.
core   +5 more sources

Left Ideals of Banach Algebras and Dual Banach Algebras [PDF]

open access: yes, 2020
We investigate topologically left Noetherian Banach algebras. We show that if $G$ is a compact group, then $L^{\, 1}(G)$ is topologically left Noetherian if and only if $G$ is metrisable. We prove that, given a Banach space $E$ such that $E'$ has BAP, the algebra of compact operators $\mathcal{K}(E)$ is topologically left Noetherian if and only if $E'$
openaire   +2 more sources

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