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Matches in SemOpenAlex for { <https://semopenalex.org/work/W340692900> ?p ?o ?g. }

• W340692900 abstract "Let S be a symmetric operator in a Hilbert space H. Suppose that the deficiency indices of S are infinite and S has some gap J. Then for every topological support T of an absolutely continuous (with respect to the Lebesgue measure) measure there exists a self-adjoint extension H T of S such that sc(H T ) J = T J. Moreover for every 2 (0,1) there exists a self-adjoint extension H of S such that dim( sc(H ) J) = and another self-adjoint extension H 0 and an -dimensional singular continuous measure µ such that H 0 ' Qµ R for some self-adjoint operator R without spectrum within J. Here Qµ denotes the operator of multiplication by the identity function in L 2 (R,µ )." @default.
• W340692900 created "2016-06-24" @default.
• W340692900 creator A5030561072 @default.
• W340692900 date "2000-01-01" @default.
• W340692900 modified "2023-09-27" @default.
• W340692900 title "INVERSE SPECTRAL THEORY: NOWHERE DENSE SINGULAR CONTINUOUS SPECTRA AND HAUSDORFF DIMENSION OF SPECTRA" @default.
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