The Fuglede-Putnam theorem and Putnam's inequality for quasi-class (A, k) operators.
Gao, Fugen, Fang, Xiaochun (2011)
Annals of Functional Analysis (AFA) [electronic only]
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Displaying similar documents to “On the spectra of some non-normal operators.”
The Fuglede-Putnam theorem and Putnam's inequality for quasi-class (A, k) operators.
Additive combinations of special operators
Pei Wu (1994)
Banach Center Publications
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This is a survey paper on additive combinations of certain special-type operators on a Hilbert space. We consider (finite) linear combinations, sums, convex combinations and/or averages of operators from the classes of diagonal operators, unitary operators, isometries, projections, symmetries, idempotents, square-zero operators, nilpotent operators, quasinilpotent operators, involutions, commutators, self-commutators, norm-attaining operators, numerical-radius-attaining operators, irreducible...
On the range and the kernel of the elementary operators .
Mecheri, S. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Aluthge transforms of -hyponormal operators.
Cheng, Junxiang, Yuan, Jiangtao (2011)
Annals of Functional Analysis (AFA) [electronic only]
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On the class operators.
Bachir, A., Segres, A. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Generalized derivations and -algebras: comments and some open problems.
Mecheri, Salah (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Generalizations of Melin's inequality to systems
Raymond Brummelhuis (2001)
Journées équations aux dérivées partielles
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We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.
Some properties of paranormal and hyponormal operators.
Braha, N.L., Lohaj, M, Marevci, F.H., Lohaj, Sh. (2009)
Bulletin of Mathematical Analysis and Applications [electronic only]
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Functions of operators and their commutators in perturbation theory
Yu. Farforovskaya (1994)
Banach Center Publications
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This paper shows some directions of perturbation theory for Lipschitz functions of selfadjoint and normal operators, without giving precise proofs. Some of the ideas discussed are explained informally or for the finite-dimensional case. Several unsolved problems are mentioned.
Norm of a derivation and hyponormal operators.
Mohamed Barraa, Mohamed Boumazgour (2001)
Extracta Mathematicae
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Aggregation, Non-Contradiction and Excluded-Middle.
Ana Pradera, Enric Trillas (2006)
Mathware and Soft Computing
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This paper investigates the satisfaction of the Non-Contradiction (NC) and Excluded-Middle (EM) laws within the domain of aggregation operators. It provides characterizations both for those aggregation operators that satisfy NC/EM with respect to (w.r.t.) some given strong negation, as well as for those satisfying them w.r.t. any strong negation. The results obtained are applied to some of the most important known classes of aggregation operators.
On some shift invariant integral operators, univariate case
George A. Anastassiou, Heinz H. Gonska (1995)
Annales Polonici Mathematici
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In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving...