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pro vyhledávání: '"Sotirios Karanasios"'
Publikováno v:
Linear and Multilinear Algebra. 57:459-475
Bonsall and Duncan (1973) observed that the numerical range of a bounded linear operator can be written as an infinite intersection of closed circular discs. Motivated by this interesting property (which does not seem to be very popular with people w
Publikováno v:
Linear Algebra and its Applications. 429(7):1555-1567
In this paper we characterize EP operators through the existence of different types of factorizations. Our results extend to EP operators existing characterizations for EP matrices and give new characterizations both for EP matrices and EP operators.
Autor:
Sotirios Karanasios
Publikováno v:
Journal of Mathematical Analysis and Applications. 142(1):95-100
On considere la factorisation d'un operateur A en introduisant la notion de regularite relative a un jeu de modules d'algebre #7B-U et on l'utilise pour les classer. On donne une condition necessaire et suffisante, quand A est un operateur positif, d
Autor:
Sotirios Karanasios
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 27:115-129
A study of nonselfadjoint algebras of Hilbert space operators was begun by considering special types of such algebras, namely those determined by a commuting family of rank one operators. A first step in this direction was made by Erdos in [1] and is
Autor:
Sotirios Karanasios
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 93:303-306
Fall, Arveson and Muhly(4) characterized the compact perturbation of nest algebras. In fact they proved that the compact perturbation of a nest algebra corresponding to a nest of projections is the algebra of operators which are quasitriangular relat
Autor:
Sotirios Karanasios
Publikováno v:
Journal of the London Mathematical Society. :295-304