Results 161 to 170 of about 1,363 (195)

An Exotic Minimal Banach Space of Functions

Mathematische Nachrichten, 2002
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Feichtinger, Hans Georg, Zimmermann, Georg   +1 more
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A Banach–Zarecki Theorem for functions with values in Banach spaces

Monatshefte für Mathematik, 2014
This paper gives a vector valued version of the classical Banach-Zarecki theorem, which establishes that a function \(F:[a,b] \to \mathbb R\) is strongly absolutely continuous if and only if \(F\) is of bounded variation, continuous on \([a,b]\) and satisfies the property (N), that is, for each Lebesgue measurable subset \(E\) of \([a,b]\), its ...
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Weighted Noncommutative Banach Function Spaces

2019
We review the concept of a weighted noncommutative Banach function space. This concept constitutes a generalisation of the by now well-known theory of noncommutative Banach function spaces associated with a semifinite von Neumann algebra. In this review we remind the reader of the quantum statistical problem which gave birth to this concept, we ...
Labuschagne, L.E., Steyn, C.
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Semicontinuity of an integral functional in Banach space

Siberian Mathematical Journal, 1997
In the paper under review the author studies lower semicontinuity of an integral functional \(J_f :(x, u) \to \int_T f(x(t),u(t))dt\) that arises in various minimization problems. It is assumed that \(T\) equals \([0,1]\) and \(x\), \(u\) are elements in the space \(L_1(T,X)\) of all Bochner integrable functions taking values in a separable Banach ...
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A Function Representation for Learning in Banach Spaces

2004
Kernel–based methods are powerful for high dimensional function representation. The theory of such methods rests upon their attractive mathematical properties whose setting is in Hilbert spaces of functions. It is natural to consider what the corresponding circumstances would be in Banach spaces.
Charles A. Micchelli, Massimiliano Pontil   +1 more
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On a minimization of functionals in Banach spaces

1981
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 33 (1979), s. 165-188 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 33 (1979), s. 165-188 ; streszcz. pol., ros.
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Perturbations of Functions of Operators in a Banach Space

Mathematical Physics, Analysis and Geometry, 2009
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Characterization of Analytic Functions in Banach Spaces

The Annals of Mathematics, 1945
Not ...
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A series of convex functions on a Banach space

Acta Mathematica Sinica, 1998
The main result is the following generalization of the Moreau-Rockafellar theorem on the additivity of the convex subdifferential: If \(f\) and \(\{f_n\}\) are proper lower semicontinuous functions on a Banach space \(X\), with dual \(X^*\), such that \(\sum^\infty_{n= 1}f_n\) pointwise converges to \(f\) on \(X\) then, for each \(x\in\text{int dom}(f)\
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Banach function spaces

1955
Electrical Engineering, Mathematics and Computer ...
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