Results 41 to 50 of about 5,288,578 (240)
Group‐symmetric holomorphic functions on a Banach space
, 2016 We study the holomorphic functions on a complex Banach space E that are invariant under the action of a given group of operators on E . A great variety of situations occur depending, of course, on the group and the space. Nevertheless, in the examples we
R. Aron +3 more
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Nontrivial isometries on sp(α)
International Journal of Mathematics and Mathematical Sciences, 1982 sp(α) is a Banach space of sequences x with ‖x‖=(∑i=0∞|xi|p+α∑i=0∞|xi+1−xi|p)1/p.
Stephen L. Campbell
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Extremal properties of the set of vector-valued Banach limits
Open Mathematics, 2015 In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X).
García-Pacheco Francisco Javier
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Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type
Fixed Point Theory and Applications, 2017 A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction
Reny George +3 more
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Irish Mathematical Society Bulletin, 1987 This note presents a useful tool in Banach space theory: ultraproducts of Banach spaces. These provide a uniform method for manufacturing locally similar Banach spaces. In this way they relate local (finite dimensional) and global (infinite dimensional) structure.
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Journal of Function Spaces, 2015 Authors define w∗ nearly dentable Banach space. Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator in w∗ nearly dentable space.
Shaoqiang Shang, Yunan Cui
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A characterization of the essential pseudospectra on a Banach space
, 2013 In this paper, we introduce and study the essential pseudospectra of closed, densely defined linear operators in the Banach space. We start by giving the definition and we investigate the characterization, the stability and some properties of these ...
A. Ammar, Aref Jeribi
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Some open problems on Banach spaces [PDF]
Математичні Студії, 2012 Notes of the Problem Session which has been held on the section of Banach Spaces during the International conference dedicated to the 120-th anniversary of Stefan Banach in Lviv (Ukraine), September 17–21, 2012.
A. M. Plichko, M. M. Popov
doaj
Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
Abstract and Applied Analysis, 2004 We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by ...
Fumiaki Kohsaka, Wataru Takahashi
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, 2018 It is known that if $M$ is a finite-dimensional Banach space, or a strictly convex space, or the space $\ell_1$, then every non-expansive bijection $F: B_M \to B_M$ is an isometry.
Zavarzina, Olesia
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