Structure of the sets of weak solutions of an ordinary differential equation in a Banach space
Ireneusz Kubiaczyk (1984)
Annales Polonici Mathematici
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Displaying similar documents to “The weak Phillips property”
Structure of the sets of weak solutions of an ordinary differential equation in a Banach space
An extension property for Banach spaces
Walden Freedman (2002)
Colloquium Mathematicae
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A Banach space X has property (E) if every operator from X into c₀ extends to an operator from X** into c₀; X has property (L) if whenever K ⊆ X is limited in X**, then K is limited in X; X has property (G) if whenever K ⊆ X is Grothendieck in X**, then K is Grothendieck in X. In all of these, we consider X as canonically embedded in X**. We study these properties in connection with other geometric properties, such as the Phillips properties, the Gelfand-Phillips and weak Gelfand-Phillips...
3-Weak amenability of (2n)th duals of Banach algebras
Mina Ettefagh (2012)
Colloquium Mathematicae
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We show that under some conditions, 3-weak amenability of the (2n)th dual of a Banach algebra A for some n ≥ 1 implies 3-weak amenability of A.
Weak-norm sequentially continuous operators
Alimohammady Mohsen (2000)
Mathematica Slovaca
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A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2
Peter G. Casazza, Niels J. Nielsen (2003)
Studia Mathematica
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We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2.
Kneser's Theorem For Weak Solutions Of Ordinary Differential Equations In Banach Spaces
I. Kubiaczyk, S. Szufla (1982)
Publications de l'Institut Mathématique
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On a characterization of reflexive Banach spaces
Emilia Perri (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces
Danuta Ozdarska, Stanisław Szufla (1993)
Mathematica Slovaca
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An interplay between the weak form of Peano's theorem and structural aspects of Banach spaces
C. S. Barroso, M. A. M. Marrocos, M. P. Rebouças (2013)
Studia Mathematica
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We establish some results that concern the Cauchy-Peano problem in Banach spaces. We first prove that a Banach space contains a nontrivial separable quotient iff its dual admits a weak*-transfinite Schauder frame. We then use this to recover some previous results on quotient spaces. In particular, by applying a recent result of Hájek-Johanis, we find a new perspective for proving the failure of the weak form of Peano's theorem in general Banach spaces. Next, we study a kind of algebraic...
Spaces in which a bound on cardinality implies discreteness
D. L. Grant, I. L. Reilly (1990)
Matematički Vesnik
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On a seawater intrusion problem.
Tber, Moulay Hicham (2007)
APPS. Applied Sciences
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Compactness and existence results for ordinary differential equations in Banach spaces.
Appell, J., Väth, M., Vignoli, A. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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Deviation from weak Banach–Saks property for countable direct sums
Andrzej Kryczka (2015)
Annales UMCS, Mathematica
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We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach-Saks property. We prove that if (Xν) is a sequence of Banach spaces and a Banach sequence lattice E has the Banach-Saks property, then the deviation from the weak Banach-Saks property of an operator of a certain class between direct sums E(Xν) is equal to the supremum of such deviations attained on the coordinates Xν. This is a quantitative version for operators of...