Results 41 to 50 of about 155,050 (273)

A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases

open access: yes, 2007
We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into ...
Johnson, W. B., Zheng, Bentuo
core   +2 more sources

Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type

open access: yesFixed 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
doaj   +1 more source

Some open problems on Banach spaces [PDF]

open access: yesМатематичні 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  

Approximative Compactness and Radon-Nikodym Property in w∗ Nearly Dentable Banach Spaces and Applications

open access: yesJournal 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
doaj   +1 more source

Strong convergence of an iterative sequence for maximal monotone operators in a Banach space

open access: yesAbstract 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
doaj   +1 more source

Non-expansive bijections between unit balls of Banach spaces (A technical version with some boring proofs included)

open access: yes, 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
core   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

open access: yesAsian Journal of Control, EarlyView.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

On sequence spaces for Fr\'echet frames

open access: yes, 2008
We analyze the construction of a sequence space $\widetilde{\Theta}$, resp. a sequence of sequence spaces, in order to have $\{g_i\}$ as a $\widetilde{\Theta}$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fr\'echet
Albiac F.   +5 more
core   +1 more source

Ghost effect from Boltzmann theory

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito   +3 more
wiley   +1 more source

Separability of Topological Groups: A Survey with Open Problems

open access: yesAxioms, 2018
Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
doaj   +1 more source

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