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Weighted substitution operators between Lp -spaces of vector-valued functions

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Języki publikacji
EN
Abstrakty
EN
In this paper we characterize weighted substitution operators between Lp-spaces of vector-valued functions and also make an attempt to characterize isometry and partial isometry of these operators
Rocznik
Tom
Strony
63--70
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • School of Mathematics, Shri Mata Vaishno Devi University Katra - 182320, J&K, India
autor
  • School of Mathematics, Shri Mata Vaishno Devi University Katra - 182320, J&K, India
Bibliografia
  • [1] Campbell J.T., Jamison J.E., On some classes of weighted composition operators, Glasgow Math. J., 32(1990), 87-94.
  • [2] Campbell J.T., Jamison J.E., The analysis of composition operators on Lp and Hopf Decomposition, J. Math. Anal. Appl., 159(1991), 520-531.
  • [3] Carlson J.W., Weighted Composition Operators on l2, Ph.D. Thesis, Purdue Univ., 1985.
  • [4] Carlson J.W., Hyponormal and quasinormal weighted composition operators, Rocky Mountain Journal of Mathematics, 20(1990), 399-407.
  • [5] Ding J., Horvor W.E., A new approach to Frobenius-Perron operators, J. Math. Analysis Applicable, 187(1994), 1047-1058.
  • [6] Hornor W.E., Jamison J.E., Weighted compositio operator on Hilbert spaces of vector valued functions, Proc. Amer. Math. Soc., 124(1996), 3123 -3130.
  • [7] Hoover T., Lambert T., Quim J., The Morkov Process determined by a weighted compostion operator, Studia Math., LXXII(1982), 225-235.
  • [8] Jabbarzadeh M.R., Pourreza E., A note on weighted composition operator on Lp spaces, Bull. Iranian Mathematical Society, 29(1)(2003), 47-54.
  • [9] Jamison J.E., Rajagopalan M., Weighted compostion operators on C(X, E), Journal of Operator Theory, 19(1988), 307-317.
  • [10] Kamowitz H., Compact weighted endomorphism of C(X), Proc. Amer. Math. Soc., 83(1981), 517-521.
  • [11] Komal B.S, Raj K., Gupta S., On operators of weighted substitution on the generalized spaces of entire functions, I. Math. Today, 15(1997), 3-10.
  • [12] Lambart A., Localising sets for sigma-algebras and related point transfor-mations, Proc. Royal Soc. of Eolinburgh, ser. A, 118(191), 111-118. 
  • [13] Singh R.K., Composition operators induced by rational functions, Proc. Amer. Math. Soc., 59(1976), 329-333.
  • [14] Takagi H., Yokouchi K., Multiplication and composition operators be¬tween two Lp-spaces, Contem. Math., 232(1999), 321-338.
  • [15] Zaanen A.C., Integration, 2nd ed., North Holland Amsterdam, 1967.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-82de043a-e0fa-4bde-97fb-6eca707d47e8
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