منابع مشابه
Some topologies on the space of quasi-multipliers
Assume that $A$ is a Banach algebra. We define the $beta-$topology and the $gamma-$topology on the space $QM_{el}(A^{*})$ of all bounded extended left quasi-multipliers of $A^{*}.$ We establish further properties of $(QM_{el}(A^{*}),gamma)$ when $A$ is a $C^{*}-$algebra. In particular, we characterize the $gamma-$dual of $QM_{el}(A^{*})$ and prove that $(QM_{el}(A^{*}),gamma)^{*},$...
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The Dirichlet space D consists of all analytic functions f defined on the unit disk with ∫ |f (z)|dA < ∞. The space of multipliersMD consists of analytic functions φ with φf ∈ D for all f ∈ D. A sequence {zn} ⊂ is called an interpolating sequence for MD if for each bounded sequence of complex numbers {wn} there exists φ ∈ MD with φ(zn) = wn for all n. Our main result is a geometric characteriza...
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متن کاملExtremal multipliers of the Drury-Arveson space
In one variable, the theory of H(b) spaces splits into two streams, one for b which are extreme points of the unit ball of H∞(D), and the other for non-extreme points. We show that there is an analogous splitting in the Drury-Arveson case, between the quasi-extreme and non-quasiextreme cases. (In one variable the notions of extreme and quasi-extreme coincide.) We give a number of equivalent cha...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1980
ISSN: 0019-2082
DOI: 10.1215/ijm/1256047800