Results 61 to 70 of about 603 (180)
Note on measures of noncompactness in Banach sequence spaces
The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.
Martinón Cejas, Antonio, Banas, Józef
core +1 more source
Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley +1 more source
Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]
2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips.
da Silva, Eduardo Brandani +1 more
core
The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations [PDF]
We study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis.
Józef Banaś, Szymon Dudek
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Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators [PDF]
This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space.
Walid Benhadda +3 more
doaj +1 more source
In this study, we used Foxp3‐fatemapping mice to examine the cell lineage stability of Treg cells in pregnancy. Ex‐Foxp3 cells were identified in gestational tissues. However, Treg cells retained lineage stability with no increased ex‐Foxp3 generation, regardless of inflammatory challenges that induce preterm birth.
Kerrie L Foyle +6 more
wiley +1 more source
In this paper we consider the existence of asymptotically stable solutions of a quadratic Hammerstein integral equation. This equation is investigated in the space of real functions defined, bounded and continuous on the real half-axis.
Ravi P. Agarwal +5 more
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The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader +3 more
doaj
Measures of noncompactness on the standard hilbert C*-module
We define a measure of noncompactness ? on the standard Hilbert C*-module l2(A) over a unital C*-algebra, such that ?(E) = 0 if and only if E is A-precompact (i.e. it is ?-close to a finitely generated projective submodule for any ? > 0) and derive its properties.
Dragoljub Keckic, Zlatko Lazovic
openaire +4 more sources
Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley +1 more source

