Results 11 to 20 of about 93,517 (188)
Dentability indices with respect to measures of non-compactness
Journal of Functional Analysis, 2007 We study the relationships between the ordinal indices of set derivations associated to several measures of non-compactness. We obtain applications to the Szlenk index, improving a result of Lancien, and LUR renorming, providing a non-probabilistic proof
M. Raja
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Measures of non-compactness of operators in banach lattices
Journal of Functional Analysis, 1988 Let E and F be complex Banach lattices and T an order bounded linear operator from E to F. The ball measure of non-compactness \(\beta\) (T) [e.g., see \textit{K. Deimling}, Nonlinear Functional Analysis (1985; Zbl 0559.47040)] is studied utilizing a measure of non-semicompactness introduced in this paper.
B. Pagter, A. R. Schep
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Measures of Non-compactness of Operators on Banach Lattices [PDF]
Positivity, 2002 [Indag. Math.(N.S.)2(2) (1991), 149–158; Uspehi Mat. Nauk27(1(163)) (1972), 81–146] used representation spaces to study measures of non-compactness and spectral radii of operators on Banach lattices.
V. G. Troitsky
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Measures of weak non-compactness in spaces of nuclear operators [PDF]
Mathematische Zeitschrift, 2017 We show that in the space of nuclear operators from $$\ell ^q(\Lambda )$$ℓq(Λ) to $$\ell ^p(J)$$ℓp(J) (where $$p,q\in (1,\infty )$$p,q∈(1,∞)) the two natural ways of measuring weak non-compactness coincide.
J. Hamhalter, O. Kalenda
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Universal Journal of Mathematics and ApplicationsThis paper establishes the necessary conditions for the existence of $\omega$-periodic solutions in the sequence space $n(\phi)$ for an infinite system of third-order differential equations.
Santosh Kumar +2 more
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On some measures of non-compactness associated to Banach operator ideals
Journal of Approximation Theory, 2022 The first named author was supported by the Ministerio de Economía, Industria y Competitividad and FEDER under project MTM2017-84058-P. The second author was supported by the National Science Centre, Poland , Project no. 2019/33/B/ST1/00165.
Antonio Manzano, M. Mastyło
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On Measures of Non-Compactness in Regular Spaces
Zeitschrift für Analysis und ihre Anwendungen, 1996 Previous results on non-compactness obtained in [11–13] are extended to regular spaces of measurable functions, and new criteria for the \mu -compactness of sets and operators are proved.
N. A. Yerzakova
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Measures of weak non-compactness in preduals of von Neumann algebras and JBW⁎-triples [PDF]
Journal of Functional Analysis, 2019 We prove, among other results, that three standard measures of weak non-compactness coincide in preduals of JBW$^*$-triples. This result is new even for preduals of von Neumann algebras.
J. Hamhalter +3 more
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QUASI s-NUMBERS AND MEASURES OF NON-COMPACTNESS OF MULTILINEAR OPERATORS
Annales Academiae Scientiarum Fennicae Mathematica, 2013 Let \(X_1, \dots, X_m, Y\) be Banach spaces and \({\mathcal L}_m(X_1\times \dots\times X_m, Y)\) the Banach space of all \(m\)-linear bounded operators from \(X_1\times \dots\times X_m\) to \(Y\). Following the theory of \(s\)-numbers for linear operators, the authors introduce the notion of quasi \(s\)-numbers for multilinear operators. A mapping \(s=(
D. L. Fernandez, M. Mastyło, E. Silva
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Asymptotic solutions of forced nonlinear second order differential equations and their extensions
Electronic Journal of Differential Equations, 2007 Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Angelo B. Mingarelli, Kishin Sadarangani
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