Traces and determinants of linear operators
著者
書誌事項
Traces and determinants of linear operators
（Operator theory : advances and applications, v. 116）
Birkhäuser, c2000
- : sz
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注記
Includes bibliographical references (p. [249]-252) and index
内容説明・目次
内容説明
This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. The self-contained material should appeal to a wide group of mathematicians and engineers, and is suitable for teaching.
目次
- Finite rank operators
- continuous extension of trace and determinant
- first examples
- trace class and Hilbert-Schmidt operators in Hilbert space
- nuclear operators in Banach spaces
- the Fredholm determinant
- possible values of traces and determinants - Perelson algebras
- inversion formulas
- regularised determinants
- Hilbert-Carleman determinants
- regularised determinants of higher order
- inversion formulas via generalised determinants
- determinants of integral operators with semi-separable kernels
- algebras without the approximation property. Bibliography
- list of symbols.
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