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Biholomorphic Functions in Dual Banach Spaces
Complex Analysis and Operator Theory, 2011The main result of the paper is Theorem 2.9 stating that a holomorphic self map \(f:G\to G\) is surjective with holomorphic inverse whenever \(G\) is a bounded domain in a separable dual Banach space \(E=X^*\) with the holomorphic separation property (i.e., for all \(x\in\partial G\) there is a holomorphic function \(h_x:U_x\to\mathbb C\) on a ...
Carrión, Humberto +2 more
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Wavelet Bases in Banach Function Spaces
Bulletin of the Malaysian Mathematical Sciences Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Banach–Zarecki Theorem for functions with values in Banach spaces
Monatshefte für Mathematik, 2014This 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
2019We 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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Perturbations of Functions of Operators in a Banach Space
Mathematical Physics, Analysis and Geometry, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Characterization of Analytic Functions in Banach Spaces
The Annals of Mathematics, 1945Not ...
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On a minimization of functionals in Banach spaces
1981Artykuł 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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A series of convex functions on a Banach space
Acta Mathematica Sinica, 1998The 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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