Invariant subspaces and weighted polynomial approximation

DOI10.1007/BF02388514zbMath0272.46022MaRDI QIDQ2264302

James E. Brennan

Publication date: 1973

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Invariant subspaces of linear operators (47A15) Approximation in the complex plane (30E10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

Point evaluations, invariant subspaces and approximation in the mean by polynomials ⋮ Three Problems in Function Theory ⋮ Sufficient conditions for bounded point evaluations ⋮ On mean approximation by polynomials with gaps on non-caratheodory domains ⋮ Invariant Subspaces for Algebras of Subnormal Operators ⋮ Toeplitz operators on weighted Bergman spaces ⋮ Subnormal weighted shifts and related function spaces. II ⋮ Invariant subspaces in the theory of operators and theory of functions ⋮ Approximation in the mean by polynomials on non-Caratheodory domains ⋮ Aspects of approximation theory for functions of one complex variable ⋮ On a conjecture of Mergelyan ⋮ Polynomial approximation in Bers spaces of non-Caratheodory domains ⋮ Completeness of polynomials in an \(L^ p\) space ⋮ $L^{p}$-bounded point evaluations for polynomials and uniform rational approximation ⋮ Thomson’s theorem on mean square polynomial approximation ⋮ Approximation in the mean and quasianalyticity ⋮ A characterization of \(P^ 2(\mu)\neq L^ 2(\mu)\)

Cites Work

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• Manifolds with transverse fields in euclidean space
• An approximation theorem
• Invariant subspaces and rational approximation
• On the existence of certain singular integrals
• Sur la convergence de certaines intégrales de la théorie du potentiel
• Les espaces du type de Beppo Levi
• Curvature Measures
• Mergelyan's Theorem on Uniform Polynomial Approximation.
• Weighted Mean Approximation in Carathéodory Regions.
• Approximation by polynomials and analytic functions in the areal mean
• APPROXIMATION BY POLYNOMIALS IN THE MEAN WITH RESPECT TO AREA
• Approximation in the Mean by Analytic Functions
• On the completeness of systems of analytic functions
• On the Higher Derivatives at the Boundary in Conformal Mapping