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On Hankel Operator Ranges, Meromorphic Pseudo‐Continuations and Factorization of Operator‐Valued Analytic Functions †
Author(s) -
Fuhrmann Paul A.
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-13.2.323
Subject(s) - meromorphic function , operator (biology) , bounded function , mathematics , factorization , bounded operator , analytic function , algebra over a field , pure mathematics , unit disk , quasinormal operator , finite rank operator , mathematical analysis , algorithm , banach space , biochemistry , chemistry , repressor , transcription factor , gene
Necessary and sufficient conditions for the existence of meromorphic pseudo‐continuations of bounded type for bounded operator‐valued analytic functions in the unit disc are given in terms of the ranges of the induced Hankel operators. Related factorizations of the functions are obtained.