Displaying similar documents to “Sous-espaces fermés de séries universelles sur un espace de Fréchet”

Une nouvelle version du théorème d'extension de Hartogs pour les applications séparément holomorphes entre espaces analytiques

O. Alehyane, A. Zeriahi (2001)

Annales Polonici Mathematici

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This paper is concerned with the problem of extension of separately holomorphic mappings defined on a "generalized cross" of a product of complex analytic spaces with values in a complex analytic space. The crosses considered here are inscribed in Borel rectangles (of a product of two complex analytic spaces) which are not necessarily open but are non-pluripolar and can be quite small from the topological point of view. Our first main result says that...

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Simone Chevet, W. Wojtyński, C. Bessaga, C. McCarthy, D. Przeworska-Rolewicz, N. Tomczak, W. Mlak, A. Persson, U. Schlotterbeck, J. Schmets, Yu. Vladimirskiĭ, W. Szlenk, Christian Fenske, Eberhard Schock, N. Kalton, Leonard Gross, G. Köthe, M. Zerner, T. Pytlik, Dimiter Skordev, N. Peck, M. de Wilde, W. Szczyrba, G. Neubauer, N. Aronszajn, G. Dennler, Ivan Dobrakov, M. Jonac, C. Samuel, Y. Kōmura, M. Dragilev, E. Semenov, Nicolae Popa, Sivliu Teleman (1970)

Studia Mathematica

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S. CHEVET, p-ellipsoïdes de l 2 . Mesures cylindriques gaussiennes 439-441 W. WOJTYŃSKI On conditional bases in non-nuclear Fréchet spaces 441 C. BESSAGA, A theorem on complemented subspaces of nuclear spaces 441-442 C. MCCARTHY, Optimal conditioning of operators 442-443 D. PRZEWORSKA-ROLEWICZ, On algebraic derivative 443-444 N. TOMCZAK, A remark (p,q)-absolutely summing operators in L p -spaces 444-445 W. MLAK, Decompositions of operator representations of function algebras 445-446 A. PERSSON,...

Spaces of type H ∞ + C

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 H ∞ + C is a closed subalgebra of L ∞ . 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.