O integralnoj reprezentaciji linearnog operatora
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P. Obradović (1987)
Matematički Vesnik
A.K. Китовер (1976)
Zapiski naucnych seminarov Leningradskogo
Luis González (1992)
Colloquium Mathematicae
Takateru Okayasu, Jan Stochel, Yasunori Ueda (2011)
Studia Mathematica
The main goal of this paper is to clarify the antisymmetric nature of a binary relation ≪ which is defined for normal operators A and B by: A ≪ B if there exists an operator T such that for all Borel subset Δ of the complex plane ℂ, where and are spectral measures of A and B, respectively (the operators A and B are allowed to act in different complex Hilbert spaces). It is proved that if A ≪ B and B ≪ A, then A and B are unitarily equivalent, which shows that the relation ≪ is a partial order...
Diederich Hinrichsen, Wilfried Manthey (1994)
Journal für die reine und angewandte Mathematik
Tin Wong (1971)
Studia Mathematica
O. Reynov (1981)
Studia Mathematica
Ю.Ф. Коробейник (1982)
Sibirskij matematiceskij zurnal
Nicolae Tita (1981)
Collectanea Mathematica
Vasile I. Istratescu (1972)
Mathematische Zeitschrift
J. Uhl (1971)
Studia Mathematica
Basor, Estelle L., Ehrhardt, Torsten (1999)
The New York Journal of Mathematics [electronic only]
Ambrozie, C.-G. (2005)
Portugaliae Mathematica. Nova Série
Michels, C. (2010)
Annals of Functional Analysis (AFA) [electronic only]
Krzysztof Frączek (1997)
Studia Mathematica
We show that for a unitary operator U on , where X is a compact manifold of class , , and μ is a finite Borel measure on X, there exists a function that realizes the maximal spectral type of U.
Hamid Drljević (1986)
Publications de l'Institut Mathématique
Driss Drissi (1998)
Studia Mathematica
Using [1], which is a local generalization of Gelfand's result for powerbounded operators, we first give a quantitative local extension of Lumer-Philips' result that states conditions under which a quasi-nilpotent dissipative operator vanishes. Secondly, we also improve Lumer-Phillips' theorem on strongly continuous semigroups of contraction operators.
Yang, Bicheng (2009)
Journal of Inequalities and Applications [electronic only]
Yang, Bicheng (2007)
Journal of Inequalities and Applications [electronic only]
Zagorodnyuk, Sergey M. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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