Subnormal weighted shifts and related function spaces

DOI10.1016/0022-247X(75)90074-8zbMath0319.47024MaRDI QIDQ1222851

Richard Frankfurt

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (12)

Composition operators on Hilbert spaces of entire functions with analytic symbols ⋮ Fredholmness of Toeplitz operators on generalized Hardy spaces over the polydisc ⋮ On normal extensions of unbounded operators. III: Spectral properties ⋮ Convergence properties of minimal vectors for normal operators and weighted shifts ⋮ Subnormal Operators, Toeplitz Operators and Spectral Inclusion ⋮ Analytic structures for subnormal operators ⋮ Subnormal operators whose adjoints have rich point spectrum ⋮ Subnormal weighted shifts and related function spaces. II ⋮ Function spaces associated with radially symmetric measures ⋮ Operator equations and weighted shifts ⋮ 𝐶*-algebras generated by a subnormal operator ⋮ Lifting strong commutants of unbounded subnormal operators

Cites Work

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• Some properties of fractional integrals. II
• Weakly invertible elements in certain function spaces, and generators in \(l_ 1\)
• Which weighted shifts are subnormal
• Subnormal operators
• The 𝐻^{𝑝} spaces of an annulus
• SOME REMARKS ON WEIGHTED POLYNOMIAL APPROXIMATIONS OF HOLOMORPHIC FUNCTIONS
• Ten problems in Hilbert space
• Cyclic Vectors and Parts of the Spectrum of a Weighted Shift
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Zeros of functions in the Bergman spaces

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