Results 101 to 110 of about 3,875,192 (205)

Invertible Operators on Banach Spaces [PDF]

open access: yesFormalized Mathematics, 2019
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.
openaire   +2 more sources

Weak convergence and weak compactness for multifunctions with values in a separable Banach space [PDF]

open access: yes, 1990
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
core   +1 more source

Antiproximinal Norms in Banach Spaces

open access: yesJournal of Approximation Theory, 2002
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
openaire   +2 more sources

Extremal solutions to a class of multivalued integral equations in Banach space [PDF]

open access: yes, 1992
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
core   +1 more source

Criteria for Banach spaces [PDF]

open access: yesPacific Journal of Mathematics, 1972
Valentine, J. E., Wayment, S. G.
openaire   +2 more sources

On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases

open access: yesAdvances in Mathematics, 2015
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.
openaire   +3 more sources

A description of the Stone space of Banach lattice C(K,E)

open access: yesJournal of Function Spaces and Applications, 2006
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
doaj   +1 more source

A weakly Stegall space that is not a Stegall space [PDF]

open access: yes, 2002
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
core   +1 more source

Constructive Analysis on Banach Spaces

open access: yesReal Analysis Exchange, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gill, Tepper L., Myers, Timothy
openaire   +2 more sources

Holomorphic Processes in Banach Spaces and Banach Algebras

open access: yesJournal of Multivariate Analysis, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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