Results 11 to 20 of about 855 (128)
On measures of weak noncompactness [PDF]
Annali di Matematica Pura ed Applicata, 1988 The authors give an axiomatic definition of measures of weak noncompactness which is in some sense parallel to \textit{B. N. Sadovskij}'s definition of measures of (strong) noncompactness [see e.g. Usp. Mat. Nauk 27, No.1, 81-146 (1972; Zbl 0243.47033)]. The first explicit measure of weak noncompactness is due to \textit{F. S. de Blasi} [Bull.
Józef Banaś, Jesús Rivero
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Measure of weak noncompactness under complex interpolation [PDF]
Studia Mathematica, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrzej Kryczka, Stanisław Prus
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Real Interpolation and Measure of Weak Noncompactness
Mathematische Nachrichten, 1995 AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Asuman Güven Aksoy, Lech Maligranda
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Measure of Weak Noncompactness and Fixed Point Theorems in Banach Algebras with Applications [PDF]
Axioms, 2019 In this paper, we prove some fixed point theorems for the nonlinear operator A · B + C in Banach algebra. Our fixed point results are obtained under a weak topology and measure of weak noncompactness; and we give an example of the application of our results to a nonlinear integral equation in Banach algebra.
Mohamed Amine Farid +3 more
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Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness
Journal of Mathematical Analysis and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tiziana Cardinali, Paola Rubbioni
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APPLICATION OF MEASURES OF WEAK NONCOMPACTNESS TO A NONLOCAL DARBOUX PROBLEM [PDF]
Demonstratio Mathematica, 2009 AbstractIn this paper we study the existence of pseudosolutions of a nonlocal hyperbolic Darboux problem for the ...
Piotr Majcher, Sushil Sharma
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Filomat, 2022 In this paper, we show that an unbounded weakly S0-demicompact linear operator T, introduced in [18], acting on a Banach space, can be characterized by some measures of weak noncompactness. Moreover, our results are illustrated to discuss the relationship with Fredholm and upper semi-Fredholm operators as well as the stability of the ...
Aref Jeribi, Bilel Krichen, Makrem Salhi
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Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds [PDF]
Journal of the Mathematical Society of Japan, 2009 22 ...
Tatsuhiko Yagasaki
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Measure of weak noncompactness and real interpolation of operators [PDF]
Bulletin of the Australian Mathematical Society, 2000 A new measure of weak noncompactness is introduced. A logarithmic convexity-type result on the behaviour of this measure applied to bounded linear operators under real interpolation is proved. In particular, it gives a new proof of the theorem showing that if at least one of the operators T: Ai → Bi, i = 0, 1 is weakly compact, then so is T : Aθ,p → Bθ,
Andrzej Kryczka +2 more
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On the Volterra integral equation and axiomatic measures of weak noncompactness [PDF]
Mathematica Bohemica, 2001 Summary: We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.
Dariusz Bugajewski
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