A Semibounded Closed Symmetric Operator Whose Square Has Trivial Domain
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Publication:3041805
DOI10.2307/2044918zbMath0526.47011OpenAlexW4244789249MaRDI QIDQ3041805
Publication date: 1983
Full work available at URL: https://doi.org/10.2307/2044918
Cayley transformclosed symmetric operatorsdomain of powers of operatorsSzegoe's theorem on boundary values of holomorphic functions in the disc
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On the mappings connected with parallel addition of nonnegative operators ⋮ A hyponormal weighted shift on a directed tree whose square has trivial domain ⋮ A subnormal weighted shift on a directed tree whose \(n\)th power has trivial domain ⋮ Families of symmetric operators with trivial domains of their squares ⋮ Jan Stochel, a stellar mathematician ⋮ CHERNOFF-LIKE COUNTEREXAMPLES RELATED TO UNBOUNDED OPERATORS ⋮ The Fuglede theorem and some intertwining relations ⋮ Cloning of symmetric operators ⋮ Subnormal weighted shifts on directed trees and composition operators in \(L\)-spaces with nondensely defined powers ⋮ Unbounded quasinormal operators revisited ⋮ Around the Van Daele-Schmüdgen theorem ⋮ Unnamed Item ⋮ Unbounded products of operators and connections to Dirac-type operators ⋮ Everything is possible for the domain intersection dom \(T \cap\) dom \(T^\ast\) ⋮ A criterion for the normality of unbounded operators and applications to self-adjointness ⋮ Unbounded subnormal composition operators in \(L^2\)-spaces ⋮ On the operator equations An = A*A
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