Reconstructing equivalences
Nýdl, Václav
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Nýdl, Václav
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Wacław Sierpiński (1952)
Fundamenta Mathematicae
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Wacław Sierpiński (1948)
Fundamenta Mathematicae
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Walter Rudin (1975)
Annales de l'institut Fourier
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A simple theorem is proved which states a sufficient condition for the sum ot two closed subspaces of a Banach space to be closed. This leads to several analogues of Sarason’s theorem which states that is a closed subalgebra of . In these analogues, the unit circle is replaces by other groups, and the unit disc is replaced by polydiscs or by balls in spaces of several complex variables. Sums of closed ideals in Banach algebras are also studied.
Wacław Sierpiński (1953)
Fundamenta Mathematicae
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Istvan Fary (1965)
Séminaire Ehresmann. Topologie et géométrie différentielle
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M. Binkowska, B. Kaminski (1984)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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Thomas S. Mountford (1993)
Séminaire de probabilités de Strasbourg
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Nicholas M. Katz (1987-1988)
Séminaire Bourbaki
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László Lempert (2000)
Annales de l'institut Fourier
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Let be a Banach space and the ball of radius centered at . Can any holomorphic function on be approximated by entire functions, uniformly on smaller balls ? We answer this question in the affirmative for a large class of Banach spaces.
David Williams (1978)
Séminaire de probabilités de Strasbourg
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David Nualart, Moshe Zakai (1989)
Séminaire de probabilités de Strasbourg
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