Traces and Determinants of Linear Operators
1st Edition
Published on 14. February 2000
Book
Hardback
IX, 258 pages
978-3-7643-6177-8 (ISBN)
Description
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.
More details
Series
Edition
1., 2000
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Professional and scholarly
Research
Illustrations
IX, 258 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
640 gr
ISBN-13
978-3-7643-6177-8 (9783764361778)
DOI
10.1007/978-3-0348-8401-3
Schweitzer Classification
Other editions
Additional editions
Israel Gohberg | Seymour Goldberg | Nahum Krupnik
Traces and Determinants of Linear Operators
Book
10/2012
Birkhäuser
€80.24
Shipment within 10-15 days
Content
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.