Invertibility of ideals in Prüfer extensions
نویسندگان
چکیده
منابع مشابه
Weak Beurling Property and Extensions to Invertibility
Let E , E∗ be Hilbert spaces. Given a Hilbert space H of holomorphic functions in a domain Ω in C, consider the multiplier space MH(E , E∗). It is shown that for “nice enough” H, the following statements are equivalent for f ∈ MH(E , E∗): (1) There exists a g ∈ MH(E∗, E) such that g(z)f(z) = IE for all z ∈ Ω. (2) There exists a Hilbert space Ec and fc ∈ MH(Ec, E∗) such that F (z) := [ f(z) fc(z...
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Article history: Received 7 November 2013 Received in revised form 24 June 2014 Accepted 28 June 2014 Available online xxxx MSC: 03E35 03E75
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2016
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2016.1270954