Admissible Banach Function Spaces and Nonuniform Stabilities
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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
Admissible Banach function spaces for linear dynamics with nonuniform behavior on the half-line
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DOI: 10.1007/s00233-018-9985-7
Abstract: For nonuniform exponentially bounded evolution families on the half-line, we introduce a special class of Banach function spaces, on which we define certain $$C_{0}$$C0-semigroups. We characterize the existence of nonuniform exponential stability in terms of… read more here.
Keywords: half line; nonuniform behavior; banach function; function spaces ... See more keywords
Uniform homeomorphisms of unit spheres and Property H of Lebesgue–Bochner function spaces
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DOI: 10.1007/s10114-016-6245-1
Abstract: Assume that the unit spheres of Banach spaces X and Y are uniformly homeomorphic. Then we prove that all unit spheres of the Lebesgue–Bochner function spaces Lp(μ,X) and Lq(μ, Y) are mutually uniformly homeomorphic where… read more here.
Keywords: unit; function spaces; property; unit spheres ... See more keywords
Isometries between completely regular vector-valued function spaces
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DOI: 10.1007/s10998-021-00413-x
Abstract: In this paper, first we study surjective isometries (not necessarily linear) between completely regular subspaces $A$ and $B$ of $C_0(X,E)$ and $C_0(Y,F)$ where $X$ and $Y$ are locally compact Hausdorff spaces and $E$ and $F$… read more here.
Keywords: completely regular; valued function; isometries completely; function spaces ... See more keywords
Diameter preserving maps on function spaces
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DOI: 10.1007/s11117-016-0438-9
Abstract: In this paper we describe, under certain assumptions, surjective diameter preserving mappings when defined between function spaces, not necessarily algebras, thus extending most of the previous results for these operators. We provide an example which… read more here.
Keywords: maps function; diameter preserving; preserving maps; function spaces ... See more keywords
Linear dynamics of discrete cosine functions on solid Banach function spaces
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DOI: 10.1007/s11117-021-00823-8
Abstract: In this paper, we give some sufficient and necessary conditions for discrete cosine operator functions on solid Banach function spaces to be chaotic or topologically transitive. read more here.
Keywords: functions solid; solid banach; banach function; function spaces ... See more keywords
Compactness and Vitali’s compactness criterion in vector-valued F-seminormed function spaces
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DOI: 10.1007/s11587-018-0392-x
Abstract: Results of compactness for vector-valued F-seminormed function spaces and a general Vitali’s compactness criterion under the W-property are exhibited. read more here.
Keywords: seminormed function; vitali compactness; compactness; function spaces ... See more keywords
Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces
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DOI: 10.1016/j.ajmsc.2019.02.001
Abstract: The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued ρ-quasi-contractive mappings in modular function spaces. We approximate fixed points of this class of… read more here.
Keywords: modular function; quasi contractive; multivalued quasi; mappings modular ... See more keywords
Completeness and compactness properties in metric spaces, topological groups and function spaces
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DOI: 10.1016/j.topol.2017.04.012
Abstract: Abstract We prove that many completeness properties coincide in metric spaces, precompact groups and dense subgroups of products of separable metric groups. We apply these results to function spaces C p ( X , G… read more here.
Keywords: completeness compactness; function spaces; group; metric spaces ... See more keywords
Bornologies and filters applied to selection principles and function spaces
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DOI: 10.1016/j.topol.2017.12.031
Abstract: Abstract We extend known results of selection principles in C p -theory to the context of spaces of the form C B ( X ) , where B is a bornology on X. Particularly, by… read more here.
Keywords: applied selection; filters applied; selection principles; function spaces ... See more keywords
On uniformly dense Lindelöf subspaces of function spaces
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DOI: 10.1016/j.topol.2021.107833
Abstract: Abstract A set Y ⊂ C p ( X ) is uniformly dense in C p ( X ) if it is dense in the uniform topology on C ( X ) . We construct… read more here.
Keywords: lindel subspaces; dense lindel; topology; function spaces ... See more keywords