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  Far East Journal of Mathematical Sciences (FJMS)  
 ISSN: 0972-0871
 
 
 

     Far East Journal of Mathematical Sciences (FJMS)
    Volume 28, Issue 1, Pages 241 - 248 (January 2008)


COMPOSITION OPERATORS OF CLASS Q

S. Panayappan (India), D. Senthilkumar (India) and K. Thirugnanasambandam (India)

Received June 12, 2007; Revised August 8, 2007

References:



[1] T. Ando, Operators with a norm condition, Acta Sci. Math. (Szeged) 33 (1972), 169-178.

[2] Charles Burnap, Il Bong Jung and Alan Lambert, Separating partial normality classes with composition operators, J. Operator Theory 53 (2005), 381-397.

[3] J. Campbell and J. Jamison, On some classes of weighted composition operators, Glasgow Math. J. 32 (1990), 82-94.

[4] B. P. Duggal, C. S. Kubrusly and N. Levan, Contractions of class Q and invariant subspaces, Bull. Korean Math. Soc. 42 (2005), 169-177.

[5] M. Embry-Wardrop and A. Lambert, Measurable transformations and centered composition operators, Proc. Roy. Irish Acad. Sect. A 90 (1990), 165-172.

[6] S. R. Foguel, Selected topics in the study of Markov operators, Carolina Lectures Series, 9, University of North Carolina, Department of Mathematics, Chapel Hill, N.C., 1980.

[7] T. Furuta, Invitation to Linear Operators, Taylor and Francis, London, 2001.

[8] P. R. Halmos, Measure Theory, Springer-Verlag, New York, 1974.

[9] D. J. Harrington and R. Whitley, Seminormal composition operators, J. Operator Theory 11 (1984), 125-135.

[10] V. Istratescu, T. Saito and T. Yashino, On a class of operators, Tohoku Math. J. 18 (1966), 410-413.

[11] C. S. Kubrusly, Hilbert Space Operators, Birkhaüser, Boston, 2003.

[12] Alan Lambert, Hyponormal composition operators, Bull. London Math. Soc. 18 (1986), 395-400.

[13] Alan Lambert, Localising sets for sigma-algebras and related point transformations, Proc. Roy. Soc. Edinburgh Sect. A 118 (1991), 111-118.

[14] S. Panayappan, Non-hyponormal weighted composition operators, Indian J. Pure Appl. Math. 27 (1996), 979-983.

[15] T. Saitô, Hyponormal operators and related topics, Lectures on Operator Algebras, Lecture Notes in Math., 247, Springer, Berlin, 1972, pp. 533-664.

[16] R. K. Singh, Compact and quasinormal composition operators, Proc. Amer. Math. Soc. 45 (1974), 80-82.

[17] R. K. Singh and T. Veluchamy, Spectrum of a normal composition operators on spaces, Indian J. Pure Appl. Math. 16 (1985), 1123-1131.

[18] Pushpa R. Suri and N. Singh, M-quasihyponormal composition operators, Int. J. Math. Math. Sci. 10 (1987), 621-623.

[19] T. Veluchamy and S. Panayappan, Paranormal composition operators, Indian J. Pure Appl. Math. 24 (1993), 257-262.

Keywords and phrases: composition operators, paranormal operators, class Q operators.

 


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