Results 101 to 110 of about 3,875,192 (205)
Invertible Operators on Banach Spaces [PDF]
Summary In this article, using the Mizar system [2], [1], we discuss invertible operators on Banach spaces. In the first chapter, we formalized the theorem that denotes any operators that are close enough to an invertible operator are also invertible by using the property of Neumann series.
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Weak convergence and weak compactness for multifunctions with values in a separable Banach space [PDF]
In this paper we extend the notion of weak convergence to Banach space valued integrable multifunctions. We prove some properties of this mode of convergence and we show that under certain hypotheses the space of uniformly bounded, w w ...
Papageorgiou, N +1 more
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Antiproximinal Norms in Banach Spaces
A closed convex subset \(C\) of a Banach space \((X,\| \;\| )\) is called antiproximinal if no point outside \(C\) has a nearest point in \(C\). This is equivalent to the property supp \(C \cap NA_{ \| \;\| }= \{0\}\), where supp \(C\) denotes the set of all support functionals of the set \(C\) and \(NA_{ \| \;\| }=\, \)supp \(B_ {\| \;\| }\) are the ...
Jonathan M. Borwein +2 more
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Extremal solutions to a class of multivalued integral equations in Banach space [PDF]
We consider a nonlinear Volterra integral inclusion in a Banach space. We establish the existence of extremal integral solutions, and we show that they are dense in the solution set of the original equation. As an important application, we obtain a “bang-
Papageorgiou, N +3 more
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Criteria for Banach spaces [PDF]
Valentine, J. E., Wayment, S. G.
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On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach space with a separable dual embeds into one with a shrinking basis. This new proof leads to improved versions of other embedding results.
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A description of the Stone space of Banach lattice C(K,E)
We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
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A weakly Stegall space that is not a Stegall space [PDF]
A topological space X is said to belong to the class of Stegall (weakly Stegall) spaces if for every Baire (complete metric) space B and minimal usco φ : B2X, φ is single-valued at some point of B.
Moors, Warren B. +3 more
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Constructive Analysis on Banach Spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gill, Tepper L., Myers, Timothy
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Holomorphic Processes in Banach Spaces and Banach Algebras
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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