On supermatrix idempotent operator semigroups

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dc.creatorDuplij, Steven
dc.date2000-06-01
dc.date.accessioned2026-07-07T04:35:38Z
dc.date.available2026-07-07T04:35:38Z
dc.descriptionOne-parameter semigroups of antitriangle idempotent supermatrices and corresponding superoperator semigroups are introduced and investigated. It is shown that $t$-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 $t$ power-type dependence.
dc.description11 pages, AMSLatex 2e (amsmath,amsthm,amssymb)
dc.identifierhttps://arxiv.org/abs/math/0006001
dc.identifierhttp://arxiv.org/abs/math/0006001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59322
dc.subjectFunctional Analysis
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subjectSpectral Theory
dc.subjectQuantum Physics
dc.subject46B28; 20M30; 46L60
dc.titleOn supermatrix idempotent operator semigroups
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