Schur complements in Krein spaces
The aim of this work is to generalize the notions of Schur complements and shorted operators to Krein spaces. Given a (bounded) J-selfadjoint operator A (with the unique factorization property) acting on a Krein space H and a suitable closed subspace S of H, the Schur complement A/[s]of A to S is de...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2007 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/100306 |
| Online Access: | http://hdl.handle.net/11336/100306 |
| Access Level: | Open access |
| Keyword: | KREIN SPACES SCHUR COMPLEMENT https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | The aim of this work is to generalize the notions of Schur complements and shorted operators to Krein spaces. Given a (bounded) J-selfadjoint operator A (with the unique factorization property) acting on a Krein space H and a suitable closed subspace S of H, the Schur complement A/[s]of A to S is defined. The basic properties of A/ are developed and different characterizations are given, most of them resembling those of the shorted of (bounded) positive operators on a Hilbert space. |
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