An existence theorem for bounded solutions of differential equations in Banach spaces
Bogdan Rzepecki (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Bogdan Rzepecki (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Janusz Dronka (1993)
Collectanea Mathematica
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In this paper we give estimations of Istratescu measure of noncompactness I(X) of a set X C lp(E1,...,En) in terms of measures I(Xj) (j=1,...,n) of projections Xj of X on Ej. Also a converse problem of finding a set X for which the measure I(X) satisfies the estimations under consideration is considered.
A. Makagon, H. Salehi (1987)
Studia Mathematica
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Jesús Bastero, Zenaida Uriz (1986)
Compositio Mathematica
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Józef Banas, Kishin Sadarangani (1995)
Collectanea Mathematica
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The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces.
Earl Berkson, T. Gillespie (1994)
Studia Mathematica
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We develop a spectral-theoretic harmonic analysis for an arbitrary UMD space X. Our approach utilizes the spectral decomposability of X and the multiplier theory for to provide on the space X itself analogues of the classical themes embodied in the Littlewood-Paley Theorem, the Strong Marcinkiewicz Multiplier Theorem, and the M. Riesz Property. In particular, it is shown by spectral integration that classical Marcinkiewicz multipliers have associated transforms acting on X. ...
O. Tikhonov (1993)
Studia Mathematica
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Let (A,e) and (V,K) be an order-unit space and a base-norm space in spectral duality, as in noncommutative spectral theory of Alfsen and Shultz. Let t be a norm lower semicontinuous trace on A, and let φ be a nonnegative convex function on ℝ. It is shown that the mapping a → t(φ(a)) is convex on A. Moreover, the mapping is shown to be nondecreasing if so is φ. Some other similar statements concerning traces and real-valued functions are also obtained.
Bertin Diarra (1995)
Annales mathématiques Blaise Pascal
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Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
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