A generalization of Vesentini and Wermer's theorems
Zbigniew Slodkowski (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Zbigniew Slodkowski (1986)
Rendiconti del Seminario Matematico della Università di Padova
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A. Taylor (1950)
Studia Mathematica
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Hall, Leon M. (1986)
International Journal of Mathematics and Mathematical Sciences
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J. Kurzweil (1953)
Studia Mathematica
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Jan Rusinek (2004)
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For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.
Benoit Bossard (2002)
Fundamenta Mathematicae
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When the set of closed subspaces of C(Δ), where Δ is the Cantor set, is equipped with the standard Effros-Borel structure, the graph of the basic relations between Banach spaces (isomorphism, being isomorphic to a subspace, quotient, direct sum,...) is analytic non-Borel. Many natural families of Banach spaces (such as reflexive spaces, spaces not containing ℓ₁(ω),...) are coanalytic non-Borel. Some natural ranks (rank of embedding, Szlenk indices) are shown to be coanalytic ranks. Applications...
Jovan D. Keckic (1969)
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Annales Polonici Mathematici
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JESÚS A. JARAMILLO and ÁNGELES PRIETO M. ISABEL GARRIDO (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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R. M. Shortt (1987)
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