Module derivations into iterated duals of triangular Banach algebras
FilomatLet A be a Banach algebra, A and B be Banach A-module with compatible actions and X be a Banach left A-A-module and Banach right B-A-module. Then the corresponding triangular Banach algebra Tri(A,X, B) is a Banach A-module with compatible actions.
Mahdieh Alikahi, Mohammad Ramezanpour
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Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
A characterisation of snowflakes via rectifiability
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
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Vanishing of the first $(σ,τ)$-cohomology group of triangular Banach algebras
, 2005 In this paper, we define the first topological $(σ,τ)$-cohomology group and examine vanishing of the first $(σ,τ)$-cohomology groups of certain triangular Banach algebras. We apply our results to study the $(σ,τ)$-weak amenability and $(σ,τ)$-amenability of triangular Banach algebras.
Khosravi, M. +2 more
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On Multilevel Energy‐Based Fragmentation Methods
International Journal of Quantum Chemistry, Volume 126, Issue 3, February 5, 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 +2 more
wiley +1 more source
An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 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
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Causality in Schwinger's Picture of Quantum Mechanics. [PDF]
Entropy (Basel), 2022 Ciaglia FM +5 more
europepmc +1 more source
Approximate biflatness and approximate biprojectivity of some Banach algebras
, 2021 In this paper, we study approximate biflatness and approximate biprojectivity of some Banach algebras. In fact, we characterize approximate bi atness of triangular Banach algebras.
Sahami, A.
core
The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
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Spectral synthesis and topologies on ideal spaces for Banach *-algebras [PDF]
, 2002 This paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ideal space of a Banach algebra, concentrating on the class of Banach *-algebras, and in particular on L1-group algebras.
Somerset, D.W.B. +2 more
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