Norm, essential norm and weak compactness of weighted composition operators between dual Banach spaces of analytic functions

DOI10.1016/j.jmaa.2017.01.098zbMathNoneOpenAlexW2587387739MaRDI QIDQ517932

Pablo Galindo, Mikael Lindström, Ilmari Nieminen, Ted Eklund

Publication date: 28 March 2017

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

Full work available at URL: http://urn.fi/urn:nbn:fi-fe2019032810234

zbMATH Keywords

essential normweighted composition operatorweakly compact operatorBloch type spaceweighted spaces of analytic functions

Mathematics Subject Classification ID

Operator theory (47-XX) Functions of a complex variable (30-XX)

Related Items (14)

Compactness and weak compactness of weighted composition operators on BMOA ⋮ On interpolating sequences for Bloch type spaces ⋮ Generalized Volterra operators mapping between Banach spaces of analytic functions ⋮ Operators between different weighted Fréchet and (LB)-spaces of analytic functions ⋮ Essential norm of integral type operators mapping into certain Banach spaces of analytic functions ⋮ Essential norm of intrinsic operators from Banach spaces of analytic functions into weighted-type spaces ⋮ Mixed topologies on Saks spaces of vector-valued functions ⋮ Products of composition, multiplication and iterated differentiation operators between Banach spaces of holomorphic functions ⋮ Operator norms and essential norms of weighted composition operators from analytic function spaces into Zygmund-type spaces ⋮ Spectra of some weighted composition operators on dual Banach spaces of analytic functions ⋮ Weighted composition operators between the Bloch type space and \(H^\infty (\mathbb {B}_X)\) of infinite dimensional bounded symmetric domains ⋮ Generalized Volterra operators on polynomially generated Banach spaces ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Products of composition, multiplication and radial derivative operators between Banach spaces of holomorphic functions on the unit ball

Cites Work

• Compact and weakly compact composition operators on BMOA
• The essential norm of weighted composition operators on weighted Banach spaces of analytic functions
• Essential norm of operators into weighted-type spaces on the unit ball
• Spaces of measures
• Operator norms and essential norms of weighted composition operators between Banach spaces of analytic functions
• Composition operators and classical function theory
• Spectra of weighted composition operators on weighted Banach spaces of analytic functions
• Compact and weakly compact composition operators from the Bloch space into Möbius invariant spaces
• Essential norms of composition operators between Bloch type spaces
• The Essential Norm of an Operator and its Adjoint
• COMPOSITION OPERATORS MAPPING INTO THE Qp SPACES
• Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions
• Estimates in Möbius invariant spaces of analytic functions
• Compact Composition Operators on the Bloch Space
• On the isomorphism classes of weighted spaces of harmonic and holomorphic functions
• Weak compactness of operators acting on o–O type spaces
• On a Theorem of Dixmier.
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