o:1293 Uopšteni inverzi i kvazihiponormalne matrice u prostorima sa nedefinisanim skalarnim proizvodom Generalized inverses and quasihyponormal matrices in spaces with indefinite inner product : doctoral dissertation sr In this dissertation the original results in matrix theory and general inverses theory in finite-dimensional indefinite inner product spaces are presented. Linear relations are used for the extension of some results in degenerate case. In the first part a generalization of the notion of normality and hyponormality is established.Quasihyponormal and strongly quasihyponormal matrices and linear relations are defined in nondegenerate and degenerate indefinite inner product spaces. A characterization of quasihyponormal and strongly quasihyponormal matrices in those spaces is given. In the second part a Moore-Penrose inverse of matrices and linear relations in degenerate indefinite inner product spaces is defined. Some properties of this inverse for matrices in degenerate case are shown. Results in the third part concerns EP matrices in indefinite inner product spaces with respect to indefinite matrix product. These matrices are J-EP matrices. The connection among EP, J-EP matrices and the reverse order law for the Moore- Penrose inverse of the indefinite matrix product is studied. Biografija autora: list 99 Datum odbrane: 08.12.2016. mathematical analysis 1025419497 91552101 4847 91552100 1025419497 2017-04-19T19:16:33.053Z 45 no 46 mentor Ivana M. 1983- Radojević 2016 63 mentor Vladimir 1953- Rakočević 2016 63 član komisije Dragan 1970- Đorđević 2016 63 član komisije Ivana Đolović 2016 63 član komisije Snežana 1965- Živković-Zlatanović 2016 63 član komisije Dijana 1981- Mosić 2016 99 listova 2460113 http://phaidrabg.bg.ac.rs/o:1293 no yes 4 2017-04-19T19:16:33.320Z 70 Funkcionalna analiza functional analysis 517.986.3(043.3) 1738 18A07 18A0701 2016