$(S+N)$-triangular operators: spectral properties and important examples
Spectral Theory
2016-11-03 v2 Classical Analysis and ODEs
Abstract
We introduce a notion of -triangular operators in the Hilbert space using some basic ideas from triangular representation theory. Our notion generalizes the well-known notion of the spectral operators so that many properties of the -triangular operators coincide with those of spectral operators. At the same time we show that wide classes of operators are -triangular.
Cite
@article{arxiv.1501.02831,
title = {$(S+N)$-triangular operators: spectral properties and important examples},
author = {Lev Sakhnovich},
journal= {arXiv preprint arXiv:1501.02831},
year = {2016}
}
Comments
In this version of the paper, small misprints are removed, the style is improved and some references are added