02865nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137040000900172082001600181100004700197245014200244264004600386300003400432336002600466337002600492338003900518347002400557490005300581505014300634520116600777650001701943650002501960650003601985650002102021650001702042650002102059650002502080650003702105700003102142710003402173773002002207776003602227830005302263856010302316978-0-387-48578-2DE-He21320260521091921.0cr nn 008mamaa100301s2007    xxu|    s    |||| 0|eng d  a9780387485782  a997803874857827 a10.1007/978-0-387-48578-22doi  cCICY04a515.7242231 aMartínez-Avendaño, Rubén A.eauthor.13aAn Introduction to Operators on the Hardy-Hilbert Spaceh[recurso electrónico] /cby Rubén A. Martínez-Avendaño, Peter Rosenthal. 1aNew York, NY :bSpringer New York,c2007.  aXII, 220 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aGraduate Texts in Mathematics,x0072-5285 ;v2370 aThe Unilateral Shift and Factorization of Functions -- Toeplitz Operators -- Hankel Operators -- Composition Operators -- Further Reading.  aThe subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. This is a popular area, partially because the Hardy-Hilbert space is the most natural setting for operator theory. A reader who masters the material covered in this book will have acquired a firm foundation for the study of all spaces of analytic functions and of operators on them. The goal is to provide an elementary and engaging introduction to this subject that will be readable by everyone who has understood introductory courses in complex analysis and in functional analysis. The exposition, blending techniques from "soft" and "hard" analysis, is intended to be as clear and instructive as possible. Many of the proofs are very elegant. This book evolved from a graduate course that was taught at the University of Toronto. It should prove suitable as a textbook for beginning graduate students, or even for well-prepared advanced undergraduates, as well as for independent study. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering. 0aMATHEMATICS. 0aFUNCTIONAL ANALYSIS. 0aFUNCTIONS OF COMPLEX VARIABLES. 0aOPERATOR THEORY.14aMATHEMATICS.24aOPERATOR THEORY.24aFUNCTIONAL ANALYSIS.24aFUNCTIONS OF A COMPLEX VARIABLE.1 aRosenthal, Peter.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387354187 0aGraduate Texts in Mathematics,x0072-5285 ;v23740uhttp://dx.doi.org/10.1007/978-0-387-48578-2zVer el texto completo en las instalaciones del CICY