On the spectrum of Banach algebra-valued entire functions
نویسندگان
چکیده
منابع مشابه
Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables
In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...
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in this paper, we introduce the idea of relative order and type of entire functions represented by banach valued dirichlet series of two complex variables to generalize some earlier results.proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by dirichlet series is the same as that of it...
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Here, it is observe that ΛBV (p)(σ,B), the class of functions of bounded p−Λ− variation from a non-empty compact subset σ of R into a commutative unital Banach algebra B, is a commutative unital Banach algebra. Moreover, (Λ1, ...,ΛN )∗BV (Πi=1σi,B), the class of N−variables functions of bounded p−(Λ1, ...,ΛN )∗−variation from Πi=1σi into B, is a Banach space, where σi are non-empty compact subs...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2011
ISSN: 0019-2082
DOI: 10.1215/ijm/1373636693