1978
DOI: 10.1017/s0004972700008303
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Composition operators

Abstract: A study of centered composition operators on l2 is made in this paper. Also the spectrum of surjective composition operators is computed. A necessary and sufficient condition is obtained for the closed unit disc to be the spectrum of a surjective composition operator.

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Cited by 8 publications
(4 citation statements)
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“…An intensive study of composition operators is made over the past several decades. To worth mention, few of them are Ridge [10], Singh [11,12],Singh and Komal [13], Singh and Kumar [14], Singh and Manhas [15]. Setpanov [16,17], Whitley [18] established the Lyubic's conjecture and generalized it to Volterra composition operators on L p [0,1].…”
Section: Original Research Articlementioning
confidence: 99%
“…An intensive study of composition operators is made over the past several decades. To worth mention, few of them are Ridge [10], Singh [11,12],Singh and Komal [13], Singh and Kumar [14], Singh and Manhas [15]. Setpanov [16,17], Whitley [18] established the Lyubic's conjecture and generalized it to Volterra composition operators on L p [0,1].…”
Section: Original Research Articlementioning
confidence: 99%
“…Composition operators on the spaces of analytic functions were studied by Cowen [1], Ryff [4], Schwartz [5]and Singh [8]. Properties of generalized composition operators on weighted Hardy spaces were mentioned in the papers of Sharma [6]- [7], further Fredholm composition and weighted composition operators can be seen in the papers of Kumar [2], Maccluer [3] and Takagi [9].…”
Section: Introductionmentioning
confidence: 99%
“…Further weighted composition operators is also the part of generalized weighted composition operators. For the study of weighted composition operators we refers to [1], [2], [5].…”
Section: Introductionmentioning
confidence: 99%