K-analytic locally convex spaces
Canela, Miguel A. (1982)
Portugaliae mathematica
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Canela, Miguel A. (1982)
Portugaliae mathematica
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Zbigniew Slodkowski (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Zdeněk Frolík (1963)
Czechoslovak Mathematical Journal
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E. Ligocka (1973)
Studia Mathematica
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Petr Holický (1991)
Acta Universitatis Carolinae. Mathematica et Physica
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Jan Rusinek (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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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.
Petr Holický (2001)
Czechoslovak Mathematical Journal
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Classical analytic spaces can be characterized as projections of Polish spaces. We prove analogous results for three classes of generalized analytic spaces that were introduced by Z. Frolík, D. Fremlin and R. Hansell. We use the technique of complete sequences of covers. We explain also some relations of analyticity to certain fragmentability properties of topological spaces endowed with an additional metric.