Isometric and Closed-Range Composition Operators between Bloch-Type Spaces | Zendy

Nina Zorboska | Zendy

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Isometric and Closed-Range Composition Operators between Bloch-Type Spaces

Author(s) -

Nina Zorboska

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/132541

Subject(s) - mathematics , isometric exercise , composition (language) , bloch space , holomorphic function , type (biology) , pure mathematics , operator theory , characterization (materials science) , composition operator , range (aeronautics) , mathematical analysis , multiplication operator , compact space , hilbert space , physics , medicine , ecology , philosophy , linguistics , materials science , optics , composite material , biology , physical therapy

We present an overview of the known results describing the isometric andclosed-range composition operators on different types of holomorphic function spaces.We add new results and give a complete characterization of the isometric univalentlyinduced composition operators acting between Bloch-type spaces. We also add fewresults on the closed-range determination of composition operators on Bloch-type spacesand present the problems that are still open

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