Mathieu, Martin; matematični kolokvij september 2002

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Representation Theorems for Some Classes of Operators on C*-Algebras

Martin Mathieu

Queen's University Belfast

12. september 2002


Suppose we are interested in a certain class of operators between C*-algebras. One of the best ways to understand this class is to single out certain prototypical examples and then to prove a representation theorem which tells us how to build each member in the class from the prototypical examples. We shall discuss several examples of such representation theorems. We will also emphasize the role of a new tool in operator theory: the local multiplier algebra of a C*-algebra, on which topic we have just completed a monograph with Pere Ara (Barcelona).

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