On supermatrix idempotent operator semigroups
Functional Analysis
2007-05-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Operator Algebras
Spectral Theory
Quantum Physics
Abstract
One-parameter semigroups of antitriangle idempotent supermatrices and corresponding superoperator semigroups are introduced and investigated. It is shown that -linear idempotent superoperators and exponential superoperators are mutually dual in some sense, and the first gives additional to exponential solution to the initial Cauchy problem. The corresponding functional equation and analog of resolvent are found for them. Differential and functional equations for idempotent (super)operators are derived for their general power-type dependence.
Cite
@article{arxiv.math/0006001,
title = {On supermatrix idempotent operator semigroups},
author = {Steven Duplij},
journal= {arXiv preprint arXiv:math/0006001},
year = {2007}
}
Comments
11 pages, AMSLatex 2e (amsmath,amsthm,amssymb)