Results 51 to 60 of about 842 (180)

Spatial numerical ranges of elements of Banach algebras

International Journal of Mathematics and Mathematical Sciences, 1989
In this paper, the notion of spatial numerical range of elements of Banach algebras without identity is studied. Specifically, the relationship between spatial numerical ranges, numerical ranges and spectra is investigated.
A. K. Gaur, T. Husain
doaj   +1 more source

On Amenability-Like Properties of a Class of Matrix Algebras

Journal 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

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

Approximate Biprojectivity of ℓ1-Munn Banach Algebras

Journal 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, A. Pourabbas, M. Rostami, A. Sahami   +3 more
doaj   +1 more source

Quotients of Local Banach Algebras are Local Banach Algebras

Publications of the Research Institute for Mathematical Sciences, 1991
We show that quotients of local Banach algebras are local Banach algebras. This solves a problem posed by B. Blackadar in his book on K -Theory [BLA1]. Furthermore our techniques allow to prove additional density Theorems for the K -Theory of normed ...
openaire   +2 more sources

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

ωℒ{\omega }_{{\mathcal{ {\mathcal L} }}}-biprojective and ω¯\overline{\omega }-contractible Banach algebras

Demonstratio Mathematica
For a given Banach algebra ℳ{\mathcal{ {\mathcal M} }} and a continuous endomorphism ω\omega on ℳ{\mathcal{ {\mathcal M} }}, we define ℳ{\mathcal{ {\mathcal M} }} to be ωℒ{\omega }_{{\mathcal{ {\mathcal L} }}}-biprojective and ω¯\overline{\omega ...
Ghorbani Zahra
doaj   +1 more source

On $p$-convexification of the Banach-Kantorovich lattice [PDF]

E-Journal of Analysis and Applied Mathematics
Let $B$ be a complete Boolean algebra, $Q(B)$ the Stone compact of $B$, and let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x: Q(B) \to [-\infty, +\infty]$, assuming possibly the values $\pm\infty$ on nowhere-dense ...
Gavhar B. Zakirova
doaj   +1 more source

On Multilevel Energy‐Based Fragmentation Methods

International Journal of Quantum Chemistry, Volume 126, Issue 3, January 30, 2026.
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker, Michael Griebel, Jan Hamaekers   +2 more
wiley   +1 more source

On the ideals of extended quasi-nilpotent Banach algebras

International Journal of Mathematics and Mathematical Sciences, 1991
Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.
Morteza Seddighin
doaj   +1 more source