Matrix Representation of Linear Operatorson Product
نویسنده
چکیده
We give a condition for an operator A deened on a product space E which ensures that it can be represented in matrix form. Combining this representation with our earlier work on one-sided coupled operator matrices we can characterize various operator-theoretical properties of A in terms of its matrix entries. 1. The Matrix Representation In a series of papers, see e.g. Nag89], Nag90], EH96], Eng97c], Eng97b], in collaboration with several co-workers we constructed, by using the usual matrix rules, operators on product spaces from operators acting between the factor spaces. The rst part of this work is, in some sense, dedicated to the inverse problem, namely to represent an operator on a product space in matrix form.
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تاریخ انتشار 1997