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Multiplier Hopf algebras and duality

A. van Daele (1997)

Banach Center Publications

We define a category containing the discrete quantum groups (and hence the discrete groups and the duals of compact groups) and the compact quantum groups (and hence the compact groups and the duals of discrete groups). The dual of an object can be defined within the same category and we have a biduality theorem. This theory extends the duality between compact quantum groups and discrete quantum groups (and hence the one between compact abelian groups and discrete abelian groups). The objects in...

Multiplier transformations on H p spaces

Daning Chen, Dashan Fan (1998)

Studia Mathematica

The authors obtain some multiplier theorems on H p spaces analogous to the classical L p multiplier theorems of de Leeuw. The main result is that a multiplier operator ( T f ) ( x ) = λ ( x ) f ̂ ( x ) ( λ ∈ C ( ...

Multipliers and hereditary subalgebras of operator algebras

Damon M. Hay (2011)

Studia Mathematica

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 the closure...

Multipliers of de Branges-Rovnyak spaces in H2.

Fernando Daniel Suárez (1995)

Revista Matemática Iberoamericana

In 1966 de Branges and Rovnyak introduced a concept of complementation associated to a contraction between Hilbert spaces that generalizes the classical concept of orthogonal complement. When applied to Toeplitz operators on the Hardy space of the disc, H2, this notion turned out to be the starting point of a beautiful subject, with many applications to function theory. The work has been in constant progress for the last few years. We study here the multipliers of some de Branges-Rovnyak spaces...

Multipliers of Hankel transformable generalized functions

Jorge J. Betancor, Isabel Marrero (1992)

Commentationes Mathematicae Universitatis Carolinae

Let ℋ μ be the Zemanian space of Hankel transformable functions, and let ℋ μ ' be its dual space. In this paper ℋ μ is shown to be nuclear, hence Schwartz, Montel and reflexive. The space O , also introduced by Zemanian, is completely characterized as the set of multipliers of ℋ μ and of ℋ μ ' . Certain topologies are considered on 𝒪 , and continuity properties of the multiplication operation with respect to those topologies are discussed.

Multipliers of temperate distributions

Jan Kučera, Carlos Bosch (2005)

Mathematica Bohemica

Spaces 𝒪 q , q ∈ ℕ , of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.

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