Linear Operators and Their Spectra by E. Brian Davies

Linear Operators and Their Spectra

Review of Linear Operators and their Spectra

Brian Davies (King’s College London) has had a long and distinguished career in the functional analysis/mathematical physics interface, including the authorship of classics like Quantum theory of open systems (1976), One-parameter semigroups (1980), Heat kernels and spectral theory (1989), and Spectral theory and differential operators (1995). He subsequently shocked at least his mathematical a...

Compact weighted Frobenius-Perron operators and their spectra

In this note we characterize the compact weighted Frobenius-Perron operator $p$ on $L^1(Sigma)$ and determine their spectra. We also show that every weakly compact weighted Frobenius-Perron operator on $L^1(Sigma)$ is compact.

Linear Operators and Their Spectra Web Supplement , version 32

A large font version of this manuscript is available. Please specify the font size that you need using Latex notation. I would welcome any information about errors in the text, to be sent to the address or email above. When giving page references to LOTS, the number after the comma is for the line, counted down from the top if positive and up from the bottom if negative. The text contains some ...

Stability of essential spectra of bounded linear operators

In this paper‎, ‎we show the stability of Gustafson‎, ‎Weidmann‎, ‎Kato‎, ‎Wolf‎, ‎Schechter and Browder essential spectrum of bounded linear operators on Banach spaces which remain invariant under additive perturbations‎ ‎belonging to a broad classes of operators $U$ such $gamma(U^m)