Functions with a finite number of negative squares on semigroups |
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Authors: | Christian Berg Zoltán Sasvári |
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Affiliation: | (1) Matematisk Institut, Universitetsparken 5, 2100 Copenhagen Ø, Denmark;(2) Sektion Mathematik, Technische Universität Dresden, Mommsenstrasse 13, DDR-8027 Dresden, German Democratic Republic |
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Abstract: | We consider indefinite functions on semigroups and their relation to representations in spaces with an indefinite metric. Special attention is given to functions of finite rank, where the space of representation is of finite dimension, and to functions for which the corresponding representation consists of bounded operators in Pontrjagin spaces.The authors wish to thankMarco Thill for useful remarks. |
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