6533b862fe1ef96bd12c6df2

RESEARCH PRODUCT

Generalized inverses and similarity to partial isometries

Laurian SuciuMostafa Mbekhta

subject

Partial isometryPure mathematicsAluthge transformApplied MathematicsPartial isometryMoore–Penrose inverseCharacterization (mathematics)Unitary stateSimilarityAlgebraSimilarity (network science)IsometryUnitary dilationDuggal transformAnalysisMoore–Penrose pseudoinverseMathematics

description

Abstract We obtain some results related to the problems of Badea and Mbekhta (2005) [1] concerning the similarity to partial isometries using the generalized inverses. Especially, we involve the Moore–Penrose inverses. Also a characterization for such a similarity is given in the terms of dilations similar to unitary operators, which leads to a new criterion for the similarity to an isometry and to a quasinormal partial isometry.

yearjournalcountryeditionlanguage
2010-12-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2010.06.022