Multipliers on p-Fourier algebras
Michael Fisher (1975)
Studia Mathematica
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Michael Fisher (1975)
Studia Mathematica
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Ziya Argün, K. Rowlands (1994)
Studia Mathematica
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T. Husain, Pak-Ken Wong (1973)
Studia Mathematica
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Pietro Aiena (1994)
Extracta Mathematicae
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Damon M. Hay (2011)
Studia Mathematica
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We generalize some technical results of Glicksberg to the realm of general operator algebras and use them to give a characterization of open and closed projections in terms of certain multiplier algebras. This generalizes a theorem of J. Wells characterizing an important class of ideals in uniform algebras. The difficult implication in our main theorem is that if a projection is open in an operator algebra, then the multiplier algebra of the associated hereditary subalgebra arises as...
Larsen, R. (1971)
Portugaliae mathematica
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Matthew Daws
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In the first part of the paper, we present a short survey of the theory of multipliers, or double centralisers, of Banach algebras and completely contractive Banach algebras. Our approach is very algebraic: this is a deliberate attempt to separate essentially algebraic arguments from topological arguments. We concentrate upon the problem of how to extend module actions, and homomorphisms, from algebras to multiplier algebras. We then consider the special cases when we have a bounded...
Wong, Pak-Ken (1991)
International Journal of Mathematics and Mathematical Sciences
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Yngve Domar (1982)
Banach Center Publications
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Osamu Hatori, Takeshi Miura (2013)
Open Mathematics
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We describe the general form of isometries between uniformly closed function algebras on locally compact Hausdorff spaces in a continuation of the study by Miura. We can actually obtain the form on the Shilov boundary, rather than just on the Choquet boundary. We also give an example showing that the form cannot be extended to the whole maximal ideal space.
L. Waelbroeck (1983)
Studia Mathematica
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McKennon, Kelly (1982)
International Journal of Mathematics and Mathematical Sciences
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