$(S+N)$-triangular operators: spectral properties and important examples

Lev Sakhnovich

doi:10.1002/mana.201500064

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arXiv · 1501.02831

$(S+N)$-triangular operators: spectral properties and important examples

Lev Sakhnovich

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Abstract

We introduce a notion of $(S+N)$-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 $(S+N)$-triangular operators coincide with those of spectral operators. At the same time we show that wide classes of operators are $(S+N)$-triangular.

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BibTeX RIS

Lev Sakhnovich. 2015-06-25. $(S+N)$-triangular operators: spectral properties and important examples. https://doi.org/10.1002/mana.201500064

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