02921nmm a2200469 u 4500001001200000003002700012005001700039007002400056008004100080020001800121020001500139020001500154020001500169020001800184050001200202100001700214245007000231260004100301300001700342505006800359653003800427653002500465653002500490653004800515653002800563653004800591653003200639653007800671653005400749653007200803653003000875653003100905700001800936041001900954989005300973490003801026776001501064776001801079856008401097082001401181520125601195EB002120293EBX0100000000000000125835000000000000000.0cr|||||||||||||||||||||221028 ||| eng a9780444815934 a1281793345 a0444815937 a0080872905 a9780080872902 4aQA329.21 aSingh, R. K.00aComposition operators on function spacescR.K. Singh, J.S. Manhas aAmsterdambNorth-Hollandc1993, 1993 ax, 315 pages0 aIncludes bibliographical references (pages 273-301) and indexes aOpérateurs de composition / ram aFunctieruimten / gtt aEspaces fonctionnels aMATHEMATICS / Functional Analysis / bisacsh aOperators (Mathematics) aFunction spaces / fast / (OCoLC)fst00936058 aOpérateurs de composition aComposition operators / http://id.loc.gov/authorities/subjects/sh93005201 aComposition operators / fast / (OCoLC)fst00871778 aFunction spaces / http://id.loc.gov/authorities/subjects/sh85052310 aLineaire operatoren / gtt aEspaces fonctionnels / ram1 aManhas, J. S.07aeng2ISO 639-2 bZDB-1-ELCaElsevier eBook collection Mathematics0 aNorth-Holland mathematics studies z0080872905 z978008087290240uhttps://www.sciencedirect.com/science/bookseries/03040208/179xVerlag3Volltext0 a515/.7246 aThis volume of the Mathematics Studies presents work done on composition operators during the last 25 years. Composition operators form a simple but interesting class of operators having interactions with different branches of mathematics and mathematical physics. After an introduction, the book deals with these operators on Lp-spaces. This study is useful in measurable dynamics, ergodic theory, classical mechanics and Markov process. The composition operators on functional Banach spaces (including Hardy spaces) are studied in chapter III. This chapter makes contact with the theory of analytic functions of complex variables. Chapter IV presents a study of these operators on locally convex spaces of continuous functions making contact with topological dynamics. In the last chapter of the book some applications of composition operators in isometries, ergodic theory and dynamical systems are presented. An interesting interplay of algebra, topology, and analysis is displayed. This comprehensive and up-to-date study of composition operators on different function spaces should appeal to research workers in functional analysis and operator theory, post-graduate students of mathematics and statistics, as well as to physicists and engineers