Elliptically contoured measures on infinite-dimensional Banach spaces
John Crawford (1977)
Studia Mathematica
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Displaying similar documents to “Nonlinear structures determined by measures on Banach spaces”
Elliptically contoured measures on infinite-dimensional Banach spaces
Differentiation of measures.
Ricardo Faro Rivas, Juan A. Navarro, Juan Sancho (1994)
Extracta Mathematicae
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Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property
Lech Drewnowski (1993)
Studia Mathematica
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It is shown that if (S,∑,m) is an atomless finite measure space and X is a Banach space without the Radon-Nikodym property, then the quotient space cabv(∑,m;X)/L¹(m;X) is nonseparable.
The chain rule for differentiable measures
Hui-Hsiung Kuo (1978)
Studia Mathematica
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Measures of noncompactness in Banach sequence spaces
Józef Banaś, Antonio Martinón (1992)
Mathematica Slovaca
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Note on measures of noncompactness in Banach sequence spaces.
Jozef Banas, Antonio Martinón (1990)
Extracta Mathematicae
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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. The notion of a measure of weak noncompactness was introduced by De Blasi [8] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations (cf. [2,3,9,10,11], for instance). ...
Smooth measures, the Malliavin calculus and approximations in infinitedimensional spaces
V. I. Bogachev (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Three Spaces Problem for Lyapunov Theorem on Vector Measure
Kadets, V., Vladimirskaya, O. (1998)
Serdica Mathematical Journal
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It is proved that a Banach space X has the Lyapunov property if its subspace Y and the quotient space X/Y have it.