Operator Holes and extensions of sectorial operators and dual pairs of contractions

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dc.creatorMalamud, Mark
dc.date2005-04-14
dc.date.accessioned2026-07-07T05:19:07Z
dc.date.available2026-07-07T05:19:07Z
dc.descriptionA description of the set of $m$-sectorial extensions of a dual pair $\{A_1,A_2\}$ of nonnegative operators is obtained. Some classes of nonaccretive extensions of the dual pair $\{A_1,A_2\}$ are described too. Both problems are reduced to similar problems for a dual pair $\{T_1,T_2\}$ of nondensely defined symmetric contractions $T_j=(I-A_j)(I+A_j)^{-1},\ j\in\{1,2\}$. In turn these problems are reduced to the investigation of the corresponding operator "holes". A complete description of the set of all proper and improper extensions of a nonnegative operator is obtained too.
dc.identifierhttps://arxiv.org/abs/math/0504304
dc.identifierhttp://arxiv.org/abs/math/0504304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74903
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.subject47A57; 47B25
dc.titleOperator Holes and extensions of sectorial operators and dual pairs of contractions
dc.typetext

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