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Theory and Applications of Volterra Operators in Hilbert Space
About this Title
I. C. Gohberg and M. G. Krein
Publication: Translations of Mathematical Monographs
Publication Year:
1970; Volume 24
ISBNs: 978-0-8218-3627-9 (print); 978-1-4704-4441-9 (online)
DOI: https://doi.org/10.1090/mmono/024
MathSciNet review: MR0264447
MSC: Primary 47.45; Secondary 47.40
ReadershipTable of Contents
Front/Back Matter
Chapters
- Introduction
- Abstract triangular representation of completely continuous operators
- General theorems on transformators
- The transformator of triangular truncation. Relations between the spectra of the hermitian components of Volterra operators
- The factorization of operators which are close to the unit operator
- Triangular models of Volterra operators
- Selfadjoint boundary value problems for a canonical equation. Tests for the stable boundedness of the solutions of a canonical equation with a periodic $H$-matrix
- Fundamental theorem on the density of the spectrum of the real component of a Volterra operator with nuclear imaginary component