Admissible Banach Function Spaces and Nonuniform Stabilities
Sign Up to like & getrecommendations! Published in 2020 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-01544-0
Abstract: For nonuniform exponentially bounded evolution families defined on Banach spaces, we introduce a class of Banach function spaces, whose norms are completely determined by the nonuniform behaviour of the corresponding evolution family. We generalize a… read more here.
Keywords: admissible banach; function spaces; spaces nonuniform; banach ... See more keywords
A local Hahn–Banach theorem and its applications
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DOI: 10.1007/s00013-018-1280-z
Abstract: An important consequence of the Hahn–Banach theorem says that on any locally convex Hausdorff topological space X, there are sufficiently many continuous linear functionals to separate points of X. In the paper, we establish a… read more here.
Keywords: hahn banach; banach; local hahn; banach theorem ... See more keywords
On the Factorization of Matrices Over Commutative Banach Algebras
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DOI: 10.1007/s00020-018-2436-8
Abstract: Let A be a commutative unital complex Banach algebra and let $$GL_n(A)$$GLn(A) be the group of invertible $$n\times n$$n×n matrices with entries in A. In this paper we study the problem of the representation of… read more here.
Keywords: matrices commutative; banach algebras; factorization matrices; banach ... See more keywords
Market Failures and Equilibria in Banach Lattices: New Tangent and Normal Cones
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-019-01593-w
Abstract: In this paper, we consider an economy with infinitely many commodities and market failures such as increasing returns to scale and external effects or other regarding preferences. The commodity space is a Banach lattice possibly… read more here.
Keywords: marginal pricing; banach; market failures; new tangent ... See more keywords
Existence and approximation of fixed points of multivalued generalized α-nonexpansive mappings in Banach spaces
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DOI: 10.1007/s11075-019-00854-z
Abstract: We introduce multivalued generalized α-nonexpansive mappings and present a fixed point result. The multivalued version of the iteration process (Piri et al., Numerical Algorithms, 1–20, 2018) is proposed and some weak and strong convergence results… read more here.
Keywords: iteration process; nonexpansive mappings; multivalued generalized; banach ... See more keywords
The convergence of Abel averages and application to ordered Banach algebras
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DOI: 10.1007/s11117-021-00813-w
Abstract: Let $${\mathcal {B}}(X)$$ be the Banach algebra of all bounded linear operators on a Banach space X into itself. In this paper, we extend and simplify some results concerning the convergence in norm of Abel… read more here.
Keywords: abel; banach algebra; banach; convergence ... See more keywords
Generalized Dobrushin Coefficients on Banach Spaces
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DOI: 10.1007/s41980-021-00600-z
Abstract: The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting… read more here.
Keywords: coefficients banach; banach; banach spaces; generalized dobrushin ... See more keywords
A characterizing property of commutative Banach algebras may not be sufficient only on the invertible elements
Sign Up to like & getrecommendations! Published in 2018 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2018.05.002
Abstract: In this article, we construct a commutative unital Banach algebra, in which the property is true for the invertible elements, but cannot be extended to the whole algebra. Resume Dans cette Note, nous construisons une… read more here.
Keywords: characterizing property; invertible elements; property commutative; banach ... See more keywords
Characterization of dominated splittings for operator cocycles acting on Banach spaces
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DOI: 10.1016/j.jde.2019.04.033
Abstract: Versions of the Oseledets multiplicative ergodic theorem for cocycles acting on infinite-dimensional Banach spaces have been investigated since the pioneering work of Ruelle in 1982 and are a topic of continuing research interest. For a… read more here.
Keywords: banach; dominated splittings; banach spaces; acting banach ... See more keywords
Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces
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DOI: 10.1016/j.jfa.2019.108418
Abstract: Abstract In this paper we prove that every infinite-dimensional and separable Banach space ( X , ‖ ⋅ ‖ X ) admits an equivalent norm ‖ ⋅ ‖ X , 1 such that ( X… read more here.
Keywords: empty interior; diametrically complete; reflexive separable; separable banach ... See more keywords
Truncation and Spectral Variation in Banach Algebras
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.07.003
Abstract: Abstract Let a and b be elements of a semisimple, complex and unital Banach algebra A. Using subharmonic methods, we show that if the spectral containment σ ( a x ) ⊆ σ ( b… read more here.
Keywords: spectral containment; truncation spectral; variation banach; banach algebras ... See more keywords