The order $\sigma $-complete vector lattice of AM-compact operators
, 1995 summary:We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice $E$ into a Banach lattice $F$ is an order $\sigma $-complete vector ...
Aqzzouz, Belmesnaoui +3 more
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A counterexample to the complemented subspace problem in Banach lattices
, 2023 Building on a recent construction of G. Plebanek and the third named author, it is shown that a complemented subspace of a Banach lattice need not be linearly isomorphic to a Banach lattice.
Salguero-Alarcón, A. +3 more
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Generators of maximal left ideals in Banach algebras [PDF]
, 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.
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Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
Electronic Journal of Differential Equations, 2002 We prove existence results for discontinuous functional equations in general $L^p$-spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities.
Siegfried Carl, Seppo Heikkila
doaj
Existtence of smooth uttilities on Bannach lattices
Rect@, 1998 In this paper we consider consumption sets of an infinite dimensional commodity space. Our work deals with the representability of a preference relation by differentiable utility functions, that is, we obtain sufficient conditions for the existence of ...
Vázquez Pampín, C., Besada Morais, M.
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Ergodic decompositions of Dirichlet forms under order isomorphisms. [PDF]
J Evol Equ, 2023 Schiavo LD, Wirth M.
europepmc +1 more source
Optimal control of stochastic partial differential equations in Banach spaces [PDF]
, 2010 In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
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Idempotent vector spaces and their linear transformations
Concrete OperatorsThis article extends topics about linear algebra and operator theoretic linear transformations on complex vector spaces to those on bicomplex spaces.
Johnston William, Wahl Rebecca G.
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Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Entropy (Basel), 2023 Derr R, Williamson RC.
europepmc +1 more source
Age-Structured Population Dynamics with Nonlocal Diffusion. [PDF]
J Dyn Differ Equ, 2022 Kang H, Ruan S, Yu X.
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