ISOMETRIES AND SPECTRA OF MULTIPLICATION OPERATORS ON THE BLOCH SPACE

DOI10.1017/S0004972708001196zbMath1163.47027arXiv0809.3278OpenAlexW2056420602MaRDI QIDQ3619864

Flavia Colonna, Robert F. Allen

Publication date: 9 April 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3278

zbMATH Keywords

Bloch spacemultiplication operatorslittle Bloch space

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Linear operators on function spaces (general) (47B38)

Related Items (16)

Mean ergodicity of multiplication operators on the Bloch and Besov spaces ⋮ Some results in Möbius invariant spaces ⋮ Multiplication operators on the Lipschitz space of a tree ⋮ Mean ergodicity of composition operators on Hardy space ⋮ Spectrum of weighted composition operators. V: Spectrum and essential spectra of weighted rotation-like operators ⋮ Isometries on products of composition and integral operators on Bloch type space ⋮ Multiplication operator with BMO symbols and Berezin transform ⋮ On convexity of composition and multiplication operators on weighted Hardy spaces ⋮ Composition operators on the Lipschitz space of a tree ⋮ Norm of the multiplication operators from \(H^{\infty }\) to the Bloch space of a bounded symmetric domain ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of a bounded homogeneous domain ⋮ Boundary multipliers of a family of Möbius invariant function spaces ⋮ On the isometric composition operators on the Bloch space in \(\mathbb C^n\) ⋮ Weighted composition operators on iterated weighted-type Banach spaces of analytic functions ⋮ Multiplication operators on S2($$\mathbb{D}$$) ⋮ Multiplication operators on the Bloch space of bounded homogeneous domains

Cites Work

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• The basic properties of Bloch functions
• Multipliers and cyclic vectors in the Bloch space
• Isometries of the Bloch space among the composition operators
• Isometries of the Disc Algebra
• Isometries of Weighted Bergman Spaces
• Universal Blaschke products
• Thin Interpolating Sequences and Three Algebras of Bounded Functions
• The Isometries of H^p

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