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Traces and Determinants of Linear Operators

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Cover of 'Traces and Determinants of Linear Operators'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Finite Rank Operators
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    Chapter 3 Continuous Extension of Trace and Determinant
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    Chapter 4 First Examples
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    Chapter 5 Trace Class and Hilbert-Schmidt Operators in Hilbert Space
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    Chapter 6 Nuclear Operators in Banach Spaces
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    Chapter 7 The Fredholm Determinant
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    Chapter 8 Possible Values of Traces and Determinants. Perelson Algebras
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    Chapter 9 Inversion Formulas
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    Chapter 10 Regularized Determinants
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    Chapter 11 Hilbert-Carleman Determinants
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    Chapter 12 Regularized Determinants of Higher Order
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    Chapter 13 Inversion Formulas via Generalized Determinants
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    Chapter 14 Determinants of Integral Operators with Semi-separable Kernels
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    Chapter 15 Algebras without the Approximation Property
Attention for Chapter 3: Continuous Extension of Trace and Determinant
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