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Zeros of Fredholm Operator Valued H p –Functions
Author(s) -
Jacob Birgit
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200107)227:1<81::aid-mana81>3.0.co;2-2
Subject(s) - mathematics , fredholm theory , banach space , operator (biology) , compact operator , fredholm operator , fredholm integral equation , finite rank operator , resolvent formalism , pure mathematics , fredholm determinant , algebra over a field , mathematical analysis , integral equation , computer science , extension (predicate logic) , biochemistry , chemistry , repressor , transcription factor , gene , programming language
This paper is concerned with Fredholm operator valued H p – functions on the unit disc, where the Fredholm operators action a Banach space. Sufficient conditions are presented which guarantee that Fatou's theorem is valid. Using the theory of traces and determinants on quasi – Banach operator ideals, we develop conditions that guarantee that the zeros of Fredholm operator valued H p – functions satisfy the Blaschke condition.