Sur les types ordinaux dont tous les vrais restes sont égaux
Wacław Sierpiński (1952)
Fundamenta Mathematicae
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Wacław Sierpiński (1952)
Fundamenta Mathematicae
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(1951)
Colloquium Mathematicae
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J. Poprużenko (1958)
Colloquium Mathematicae
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Z. Szmydt (1961)
Annales Polonici Mathematici
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C. Foiaş (1961)
Studia Mathematica
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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.
Wacław Sierpiński (1947)
Fundamenta Mathematicae
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J. M. Soriano (1990)
Collectanea Mathematica
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To calculate the zeros of a map f : Rn → Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of triangulations are constructed and shown to be useful to calculate zeros of piecewise linear approximations of f.
Piotr Pragacz (1988)
Annales scientifiques de l'École Normale Supérieure
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(1951)
Colloquium Mathematicae
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John R. Baxter, Rafael V. Chacon (1989)
Séminaire de probabilités de Strasbourg
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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.