On quasi-analytic vectors for some classes of operators
Istratescu, Vasile I., Constantin, Gheorghe (1983-1984)
Portugaliae mathematica
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Istratescu, Vasile I., Constantin, Gheorghe (1983-1984)
Portugaliae mathematica
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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.
I.I.Jr. Hirschmann, D.V. Widder (1952)
Publications de l'Institut Mathématique [Elektronische Ressource]
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W. J. Trjitzinsky (1936)
Mathematische Zeitschrift
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W.J. Trjitzinksy (1935)
Mathematische Zeitschrift
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Robert H. Lohman (1974)
Colloquium Mathematicae
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W. Pleśniak (1973)
Annales Polonici Mathematici
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Cabiria Andreian Cazacu (1981)
Annales Polonici Mathematici
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Tadeusz Mostowski
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CONTENTS1. Introduction and statement of the results........................52. Lipschitz vector fields and stratifications.........................93. Generalized normal partitions.......................................104. Regular projections.......................................................135. Quasi-wings..................................................................17 A. Selection of quasi-wings..............................................18 B. Lifting of quasi-wings...................................................18 C....
T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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Pablo F. Meilán, Mariano Creus, Mario Garavaglia (2000)
Visual Mathematics
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Jan Rusinek (1998)
Studia Mathematica
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For every symmetric operator acting in a Hilbert space, we introduce the families of p-analytic and p-quasi-analytic vectors (p>0), indexed by positive numbers. We prove various properties of these families. We make use of these families to show that certain results guaranteeing essential selfadjointness of an operator with sufficiently large sets of quasi-analytic and Stieltjes vectors are optimal.