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
Bochner representable operators on Banach function spaces
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DOI: 10.1007/s11117-018-0576-3
Abstract: Let $$(E,\Vert \cdot \Vert _E)$$(E,‖·‖E) be a Banach function space, $$E'$$E′ the Köthe dual of E and $$(X,\Vert \cdot \Vert _X)$$(X,‖·‖X) be a Banach space. It is shown that every Bochner representable operator $$T:E\rightarrow X$$T:E→X… read more here.
Keywords: cdot vert; bochner representable; vert; vert cdot ... 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
Orthogonally additive polynomials on Banach function algebras
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DOI: 10.1016/j.jmaa.2016.11.010
Abstract: Abstract For a Banach function algebra A, we consider the problem of representing a continuous d-homogeneous polynomial P : A → X , where X is an arbitrary Banach space, that satisfies the property P… read more here.
Keywords: function algebras; continuous functions; function; banach function ... See more keywords
The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO
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DOI: 10.1186/s13660-019-2220-6
Abstract: Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′$X'$ by using the extrapolation. As an application… read more here.
Keywords: john nirenberg; nirenberg inequality; function spaces; ball banach ... See more keywords