Topological structure of the space of composition operators on \(H^\infty\).
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Publication:5943610
DOI10.1007/BF01198142zbMath1062.47511OpenAlexW1993349483MaRDI QIDQ5943610
Ruhan Zhao, Barbara D. MacCluer, Shuichi Ohno
Publication date: 2001
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01198142
Related Items (69)
Factorization of homomorphisms through \(H^{\infty}\)(\(D\)) ⋮ Topological structure of the space of composition operators on \(\mathcal{H}^\infty\) of Dirichlet series ⋮ Path components of the space of (weighted) composition operators on Bergman spaces ⋮ WEAKLY COMPACT DIFFERENCES OF (WEIGHTED) COMPOSITION OPERATORS ⋮ On compactness of the difference of composition operators ⋮ Difference of weighted composition operators from \(\alpha\)-Bloch spaces to \(\beta\)-Bloch spaces ⋮ Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces ⋮ Linear connection between composition operators on the Hardy space ⋮ Difference of composition operators between different Hardy spaces ⋮ A look into homomorphisms between uniform algebras over a Hilbert space ⋮ Differences of composition operators on weighted Banach spaces of holomorphic functions defined on the unit ball of a complex Banach space ⋮ Compact differences of weighted composition operators from weighted Bergman spaces to weighted-type spaces ⋮ The topological structure of weighted composition operators from Lipschitz spaces to \(H^{\infty}\) ⋮ Topological structure of the space of composition operators on \(L^{\infty}\) of an unbounded, locally finite metric space ⋮ DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS ⋮ Power bounded composition operators ⋮ Difference of composition operators from the space of Cauchy integral transforms to Bloch-type spaces ⋮ Components of linear fractional composition operators on spaces of holomorphic functions ⋮ Differences of generalized composition operators on the Bloch space ⋮ Sums of holomorphic selfmaps of the unit disk. II. ⋮ Weighted composition operators on the space of bounded harmonic functions ⋮ CONTINUITY OF WEIGHTED COMPOSITION OPERATORS BETWEEN WEIGHTED BLOCH TYPE SPACES ⋮ Weighted composition operators between different Fock spaces ⋮ Difference of weighted composition operators on the space of Cauchy integral transforms ⋮ Compact differences of composition operators on Bloch and Lipschitz spaces ⋮ COMPACT DIFFERENCES OF COMPOSITION OPERATORS ⋮ Hilbert-Schmidt differences of composition operators on the Bergman space ⋮ Path Connected Components in the Spaces of Weighted Composition Operators with the Strong Operator Topology II ⋮ Topological structure of the set of composition operators on the weighted Bergman space ⋮ Extreme points of the closed convex hull of composition operators ⋮ Difference of composition operators on some analytic function spaces ⋮ Topological properties of path connected components in spaces of weighted composition operators into \(L^{1}\) ⋮ Differences of weighted composition operators from hardy space to weighted-type spaces on the unit ball ⋮ Essential norm of weighted composition operators and difference of composition operators between standard weighted Bergman spaces ⋮ On the connected component of compact composition operators on the Hardy space ⋮ Hypercyclic composition operators on Hv0‐spaces ⋮ Essential norm of difference of composition operators from weighted Bergman spaces to Bloch-type spaces ⋮ Linear combinations of composition operators on \(H^{\infty }\) ⋮ Boundary vs. interior conditions associated with weighted composition operators ⋮ Path components of composition operators over the half-plane ⋮ Difference of weighted composition operators ⋮ Essential norm of the difference of weighted composition operators ⋮ Differences of weighted composition operators on \(H_{\alpha}^{\infty} (B_N)^{\ast}\) ⋮ Composition followed by differentiation between weighted Banach spaces of holomorphic functions ⋮ Compact differences of composition operators ⋮ Isolated points and essential components of composition operators on 𝐻^{∞} ⋮ Linear sums of two composition operators on the Fock space ⋮ Sums of weighted composition operators on \(H^\infty\) ⋮ Difference of composition operators from the space of Cauchy integral transforms to the Dirichlet space ⋮ Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions ⋮ Topological components of the space of composition operators on Fock spaces ⋮ Essential norm of the difference of composition operators on Bloch space ⋮ Difference of weighted composition operators from \(H^\infty\) to the Bloch space ⋮ Differences of composition operators on the space of bounded analytic functions in the polydisc ⋮ Homomorphisms between algebras of holomorphic functions on the infinite polydisk ⋮ Topological structure of the space of composition operators between different Fock spaces ⋮ Differences of weighted composition operators acting from Bloch space to 𝐻^{∞} ⋮ Composition operators and Gleason's problem on weighted Fock spaces ⋮ Weighted Composition Operators Between Weighted Bloch Type Spaces and Weighted Banach Spaces of Holomorphic Functions ⋮ On order bounded difference of weighted composition operators between Hardy spaces ⋮ Linear combinations of composition operators on \(H^{\infty }\) spaces over the unit ball and polydisk ⋮ Path connected components in weighted composition operators on $h^\infty $ and $H^\infty $ with the operator norm ⋮ Differences of composition operators between weighted-type spaces of holomorphic functions on the unit ball of \(\mathbb C^N\) ⋮ Linear relations in the Calkin algebra for composition operators ⋮ Essential norm of difference of composition operators from analytic Besov spaces to Bloch type spaces ⋮ Topological structures of the sets of composition operators on the Bloch spaces ⋮ Unnamed Item ⋮ Connected components in the space of composition operators on \(H^\infty\) functions of many variables ⋮ Differences of generalized weighted composition operators between growth spaces
Cites Work
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- Isolation amongst the composition operators
- Components in the space of composition operators
- Composition Operators on Analytic Lipschitz Spaces
- Composition Operators Isolated in the Uniform Operator Topology
- Distances and Banach Spaces of Holomorphic Functions on Complex Domains
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