WEYL@S THEOREMS FOR POSINORMAL OPERATORS

Title & Authors
WEYL@S THEOREMS FOR POSINORMAL OPERATORS

Abstract
An operator T belonging to the algebra B(H) of bounded linear transformations on a Hilbert H into itself is said to be posinormal if there exists a positive operator $\small{P{\in}B(H)}$ such that $TT^*\; Keywords Weyl`s theorems;single valued extension property;posinormal operators; Language English Cited by 1. WEYL SPECTRUM OF THE PRODUCTS OF OPERATORS,; 대한수학회지, 2008. vol.45. 3, pp.771-780 1. Browder–Weyl theorems, tensor products and multiplications, Journal of Mathematical Analysis and Applications, 2009, 359, 2, 631 2. WEYL'S THEOREM FOR CLASS A(k) OPERATORS, Glasgow Mathematical Journal, 2008, 50, 01 3. Generalized Browder’s and Weyl’s Theorems for Generalized Derivations, Mediterranean Journal of Mathematics, 2015, 12, 1, 117 References 1. P. Aiena and O. Monsalve, The single valued extension property and the generalized Kato decomposition property, Acta Sci. Math. (Szeged) 67 (2001), 461-477 2. P. Aiena and F. Villafane, Weyl's theorem of some classes of operators, Extracta Math.(in press) 3. P. Aiena and M. Mbekhta, Characterization of some classes of operators by means of the Kato decomposition, Boll. Unione. Mat. Ital. 10-A(1966), 609-621 4. S. R. Caradus, W. E. Pfaffenberger and Y. Bertram, Calkin Algebras and Algebras of operators on Banach Spaces, Marcel Dekker, New York, 1974 5. I. Colojoara and C. Foias, Theory of Generalized Spectral Operators, Gordon and Breach, New York, 1968 6. R. E. Curto and Y. M. Han, Weyl's theorem, a-Weyl's theorem and local spectral theory, J. London Math. Soc. 67 (2003), 499-509 7. B. P. Duggal, A remark on generalized Putnam-Fuglede theorems, Proc. Amer. Math. Soc. 129 (2000), 83-87 8. B. P. Duggal, Weyl's theorem for a generalized derivation and an elementary operator, Mat. Vesnik 54 (2002), 71-81 9. B. P. Duggal, S. V. Djordjvic, and C. S. Kubrusly, Kato type operators and Weyl's theorem, J. Math. Anal. Appl.(in press) 10. M. R. Embry and M. Rosenblum, Spectra, tensor products and linear operator equations, Pacific J. Math. 53 (1974), 95-107 11. J. Eschmeier and M. Putinar, Bishop's condition ($\beta\$) and rich extensions of linear operators, Indiana Univ. Math. J. 37 (1988), 325-347

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