Factorization for bounded analytic functions in the unit disk and an application to prime ideals
Author(s) -
Raymond Mortini
Publication year - 2006
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-15007
Subject(s) - mathematics , unit disk , bounded function , prime (order theory) , factorization , unit (ring theory) , simple (philosophy) , analytic function , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , algorithm , mathematics education , philosophy , epistemology
We prove several factorization theorems for bounded analytic functions in the open unit disk and present a very simple new proof of two conjectures of Frank Forelli and the author on the structure of finitely generated, respectively countably generated prime ideals in $H^{\infty}$.
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