Reflexivity and kernels in infinite dimensional holomorphy
Colombeau, J.F., Perrot, B. (1977)
Portugaliae mathematica
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Colombeau, J.F., Perrot, B. (1977)
Portugaliae mathematica
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Charles Swartz (1973)
Studia Mathematica
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Eberhard Gerlach (1971)
Annales de l'institut Fourier
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A general theorem on Hilbert subspaces of dually nuclear spaces is proved, from which all previous results of K. Maurin and the writer on regularity of generalized eigenfunctions follow as simple corollaries. In addition some supplements to L. Schwartz’s work on Hilbert subspaces in spaces of smooth functions are given.
Sousa Pinto, J. (1991)
Portugaliae mathematica
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Z. Zieleźny (1968)
Studia Mathematica
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Roberto Luiz Soraggi (1990)
Revista Matemática de la Universidad Complutense de Madrid
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J. B. Cooper (1975)
Collectanea Mathematica
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Nguyen Van Khue, P. Thien Danh (1997)
Publicacions Matemàtiques
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Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(O)]' ∈ (Ω) (resp. [H(O)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if H(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].
N. Aronszajn, L. Gross, S. Kwapień, N. Nielsen, A. Pełczyński, A. Pietsch, L. Schwartz, P. Saphar, S. Chevet, R. Dudley, D. Garling, N. Kalton, B. Mitjagin, S. Rolewicz, E. Schock, J. Daleckiĭ, J. Dobrakov, B. Gelbaum, G. Henkin, L. Nachbin, N. Peck, L. Waelbroeck, P. Porcelli, M. Rao, M. Zerner, V. Zakharjuta (1970)
Studia Mathematica
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1. The operator ideals and measures in linear spaces 469-472 2. Schauder bases and linear topological invariants 473-478 3. Various problems 479-483