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Multiplication operators and dynamical systems on weighted spaces of cross-sections
1993
Proceedings of the American Mathematical Society
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Let Y be a Hausdorff topological space, let V be a system of weights on Y, and let LVq{Y) and LVb{Y) be the weighted locally convex spaces of cross-sections with a topology generated by seminorms which are weighted analogues of the supremum norm. In the present paper, we characterise the multiplication operators on the spaces LV0{Y) and LVb(Y) induced by the scalar-valued, the vector-valued, and the operator-valued mappings. A (linear) dynamical system on the weighted spaces of cross-sections
doi:10.1090/s0002-9939-1993-1155602-0
fatcat:x6ykuyowwre7bnqpvwydlo52ji