Displaying similar documents to “Un théorème sur la convergence uniforme dans l'intérieur”

Approximation of holomorphic functions of infinitely many variables II

László Lempert (2000)

Annales de l'institut Fourier

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Let X be a Banach space and B ( R ) ⊂ X the ball of radius R centered at 0 . Can any holomorphic function on B ( R ) be approximated by entire functions, uniformly on smaller balls B ( r ) ? We answer this question in the affirmative for a large class of Banach spaces.

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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,...