Inertia theorems for operator pencils and applications |
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| Authors: | A Ben-Artzi I Gohberg |
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| Institution: | (1) School of Mathematical Sciences The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, 69978 Tel-Aviv, Ramat-Aviv, Israel |
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| Abstract: | In this paper we obtain general infinite dimensional inertia theorems for linear pencils in Hilbert space which cover previously known results for the finite dimensional case and for block weighted shifts. Connections with definite subspaces for contractions in spaces with indefinite metric are discussed. |
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| Keywords: | 47A53 47B50 |
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