Results 31 to 40 of about 3,875,192 (205)
Convex Optimization on Banach Spaces [PDF]
Foundations of Computational Mathematics, 2015 Greedy algorithms which use only function evaluations are applied to convex optimization in a general Banach space $X$. Along with algorithms that use exact evaluations, algorithms with approximate evaluations are treated. A priori upper bounds for the convergence rate of the proposed algorithms are given.
Ronald A. DeVore, Vladimir N. Temlyakov
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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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Geometric Properties of Generalized Von Neumann Constant
Journal of Harbin University of Science and Technology, 2023 Spatial geometric constant is a quantization of the properties of spatial geometry. In order to further apply the geometric constant to study the geometry of the Banach space, a new generalized von Neumann constant is introduced.
ZHAO Liang, ZHAO Pingan
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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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Advances in Mathematics, 2005 We show that any Banach space contains a continuum of non isomorphic subspaces or a minimal subspace. We define an ergodic Banach space $X$ as a space such that $E_0$ Borel reduces to isomorphism on the set of subspaces of $X$, and show that every Banach space is either ergodic or contains a subspace with an unconditional basis $ which is ...
Ferenczi, Valentin, Rosendal, Christian
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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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Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$
Mathematische Nachrichten, EarlyView.ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
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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
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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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Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
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