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Warianty tytułu
Języki publikacji
Abstrakty
In this paper, it is shown that a Putnam-Fuglede type commutativity theorem holds for w-hyponormal operators, the normal parts of quasi-similar w-hyponormal operators are unitarily equivalent and a w-hyponormal spectral operator is normal.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
73--81
Opis fizyczny
Bibliogr. 31 poz.
Twórcy
autor
- Univeristy of Nairobi, School of Mathematics, P.O. Box 30197, Nairobi, Kenya
Bibliografia
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- [2] A. Aluthge, Some generalized theorems on p-hyponormal operators, Integral Equations and Operator Theory 24 (1996), 497-501.
- [3] A. Aluthge, D. Wang, On w-hyponormal operators, Integral Equations and Operator Theory 36 (2000), 1-10.
- [4] A. Aluthge, D. Wang, On w-hyponormal operators II, Integral Equations and Operator Theory 37 (3) (2000), 324-331.
- [5] A. Aluthge, D. Wang, An operator inequality which implies paranormality, Math. Inequality Appl. 2 (1999), 113-119.
- [6] S.K. Berberian, Introduction to Hilbert Spaces, Oxford Univ. Press, New York, 1961.
- [7] S. Clary, Equality of spectra of quasi-similar hyponormal operators, Proc. Amer. Math. Soc. 53 (1975), 88-90.
- [8] J. Conway, On quasisimilarity for subnormal operators, Illinois Jour. Math. 24 (1980), 689-702.
- [9] R.G. Douglas, On the operator S*XT = X and related topics, Acta Sci. Math. 30 (1969), 19-32.
- [10] B.P. Duggal, Quasi-similar p-hyponormal operators, Integral Equations and Operator Theory 26 (1996), 338-345.
- [11] B.P. Duggal, On Intertwining operators, Mh. Math. 106 (1988), 139-148.
- [12] B.P. Duggal, I.H. Jeon, p-Hyponormal operators and quasi-similarity, Integral Equations and Operator Theory 49 (2004), 397-403.
- [13] B.P. Duggal, On Dominant operators, Arch. Math. 46 (1986), 353-359.
- [14] D. Dunford, J. Schwartz, Linear operators, part III: Spectral operators, Interscience, New York, 1971.
- [15] C.K. Fong, On M-hyponormal operators, Studia Math. 65 (1979), 1-5.
- [16] P.R. Halmos, A Hilbert Space Problem Book, Springer-Verlag, 1982.
- [17] T.B. Hoover, Quasi-similarity of operators, Illinois Jour. Math. 16 (1972), 678-686.
- [18] I.H. Jeon, Weyl's theorem and quasi-similarity, Integral Equations and Operator Theory 39 (2001), 214-221.
- [19] I.H. Jeon, K.Tanahashi, A. Uchiyama, On quasi-similarity for Log-hyponormal Operators, Glassgow Math. Jour. 46 (2004), 169-176.
- [20] C. R. Putnam, Ranges of normal and subnormal operators, Michigan Math. Jour. 18 (1971), 33-36.
- [21] C. R. Putnam, Hyponormal contractions and strong power convergence, Pacific Jour. Math. 57 (1975), 531-538.
- [22] M. Radjabalipour, Ranges of hyponormal operators, Illinois Jour. Math. 21 (1977), 70-75.
- [23] M. Radjabalipour, An extension of Putnam-Fuglede theorem for hyponormal operators, Math. Z. 194 (1987), 117-120.
- [24] J.G. Stampfli, B.L. Wadhwa, An asymmetric Putnam-Fuglede theorem for dominant operators, Indiana Univ. Math. Jour. 25 (1976), 359-365.
- [25] J.G. Stampfli, B.L. Wadhwa, On dominant operators, Monatsh. Math. 84 (1977), 143-153.
- [26] A. Uchiyama, K. Tanahashi, Fuglede-Putnam's Theorem for p-hyponormal or log-hyponormal Operators, Glassgow Math. Jour. 44 (2002), 397-410.
- [27] A. Uchiyama, K. Tanahashi, On the Riesz idempotent of class A Operators, Math. In. Appl. 5 (2002), 291-298.
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- [31] L. Yang, Quasi-similarity of hyponormal and subdecomposable operators, Jour. Funct. Anal. 112 (1993), 204-217.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0008-0007