Lectures on hyponormal operators
Lectures on hyponormal operators
复制标题
DOI：
10.1007/978-3-0348-7466-3
复制
发表时间：
1989
影响因子：
0.8
通讯作者：
Mircea Martin;M. Putinar
中科院分区：
文献类型：
--
作者：
Mircea Martin;M. Putinar
本讲座基于作者于 1985 年至 1986 年冬季学期在布加勒斯特大学讲授的课程。不以完整性为目的，所选择的主题涵盖了有关次正规算子的所有主要问题。我们的主要目的是为读者提供一个直接进入活跃研究领域的途径，该领域与希尔伯特空间算子的谱和微扰理论、奇异积分方程和散射理论密切相关。我们的观众主要由算子理论或积分方程专家、数学物理学家和研究生组成。本书旨在作为次正规算子基本结果的参考，但具有教科书的结构。其中部分内容也可以用作研究生二年级课程。作为先决条件，读者应该熟悉 Reed 和 Simon [1] 等人所介绍的泛函分析和算子理论的基本原理。在手稿准备的几个阶段，我们很高兴从同事们的正确评论中受益：Grigore Arsene、Tiberiu Constantinescu、Raul Curto、Jan Janas、Bebe Prunaru、Florin Radulescu、Khrysztof Rudol、Konrad Schmudgen、Florian-Horia Vasilescu。我们衷心感谢他们所有人。我们感谢本系列丛书的编辑 Israel Gohberg 教授的不断鼓励和宝贵的数学建议。我们要感谢 Birkhauser Verlag 的数学编辑 Benno Zimmermann 先生在手稿准备过程中给予的合作和帮助。
The present lectures are based on a course deli vered by the authors at the Uni versi ty of Bucharest, in the winter semester 1985-1986. Without aiming at completeness, the topics selected cover all the major questions concerning hyponormal operators. Our main purpose is to provide the reader with a straightforward access to an active field of research which is strongly related to the spectral and perturbation theories of Hilbert space operators, singular integral equations and scattering theory. We have in view an audience composed especially of experts in operator theory or integral equations, mathematical physicists and graduate students. The book is intended as a reference for the basic results on hyponormal operators, but has the structure of a textbook. Parts of it can also be used as a second year graduate course. As prerequisites the reader is supposed to be acquainted with the basic principles of functional analysis and operator theory as covered for instance by Reed and Simon [1]. A t several stages of preparation of the manuscript we were pleased to benefit from proper comments made by our cOlleagues: Grigore Arsene, Tiberiu Constantinescu, Raul Curto, Jan Janas, Bebe Prunaru, Florin Radulescu, Khrysztof Rudol, Konrad Schmudgen, Florian-Horia Vasilescu. We warmly thank them all. We are indebted to Professor Israel Gohberg, the editor of this series, for his constant encouragement and his valuable mathematical advice. We wish to thank Mr. Benno Zimmermann, the Mathematics Editor at Birkhauser Verlag, for cooperation and assistance during the preparation of the manuscript.