An area inequality for quasi-subordinate analytic functions
P. J. Eenigenburg, J. Waniurski (1977)
Annales Polonici Mathematici
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P. J. Eenigenburg, J. Waniurski (1977)
Annales Polonici Mathematici
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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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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.
M. Skendžić, B. Stanković (1976)
Studia Mathematica
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W.J. Trjitzinksy (1935)
Mathematische Zeitschrift
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Singh, R.K., Gupta, D.K., Komal, B.S. (1979)
International Journal of Mathematics and Mathematical Sciences
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W. Pleśniak (1973)
Annales Polonici Mathematici
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T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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Robert H. Lohman (1974)
Colloquium Mathematicae
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Zbigniew Slodkowski (1986)
Rendiconti del Seminario Matematico della Università di Padova
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