Linear Operators in Hilbert Spaces: 68 (Graduate Texts in Mathematics) - Tapa blanda

Weidmann, Joachim

 
9781461260295: Linear Operators in Hilbert Spaces: 68 (Graduate Texts in Mathematics)
Tapa blanda
ISBN 10: 1461260299 ISBN 13: 9781461260295
Editorial: Springer, 2012

Sinopsis

This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica­ tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.

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Reseña del editor

This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica­ tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.

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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1461260299
ISBN 13 
9781461260295
Encuadernación
Tapa blanda
Número de páginas
420
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9780387904276: Linear Operators on Hilbert Spaces: 68 (Graduate Texts in Mathematics)

Edición Destacada

ISBN 10:  0387904271 ISBN 13:  9780387904276
Editorial: Springer-Verlag New York Inc., 1980
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