Pairs of projections on a Hilbert space:properties and generalized invertibility
2012 (English)Licentiate thesis, comprehensive summary (Other academic)
This thesis is concerned with the problem of characterizing sums, differences, and products of two projections on a separable Hilbert space. Other objective is characterizing the Moore-Penrose and the Drazin inverse for pairs of operators. We use reasoning similar to one presented in the famous P. Halmos’ two projection theorem: using matrix representation of two orthogonal projection depending on the relations between their ranges and null-spaces gives us simpler form of their matrices and allows us to involve matrix theory in solving problems. We extend research to idempotents, generalized and hypergeneralized projections and their combinations.
Place, publisher, year, edition, pages
Linköping University Electronic Press, 2012. , 42 p.
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1525
IdentifiersURN: urn:nbn:se:liu:diva-75909ISBN: 978-91-7519-932-0OAI: oai:DiVA.org:liu-75909DiVA: diva2:510422
2012-04-16, Alan Turing, Building E, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
Kurasov, Pavel, Professor
Kozlov, Vladimir, ProfessorTuresson, Bengt-Ove, ProfessorWennergren, Uno, Professor
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