Moore-Penrose inverses of Gram operators on Hilbert C*-modules

• Autorzy: M. S. Moslehian , K. Sharif , M. Forough , M. Chakoshi
• Języki publikacji: EN

Abstrakty

EN

Let t be a regular operator between Hilbert C*-modules and $t^{†}$ be its Moore-Penrose inverse. We investigate the Moore-Penrose invertibility of the Gram operator t*t. More precisely, we study some conditions ensuring that $t^{†} = (t*t)^{†}t* = t*(tt*)^{†}$ and $(t*t)^{†} = t^{†}t*^{†}$. As an application, we get some results for densely defined closed operators on Hilbert C*-modules over C*-algebras of compact operators.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 46L08: C * -modules
• 15A09: Matrix inversion, generalized inverses

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 210
• Numer: 2
• Strony: 189-196

Daty

wydano

2012

Twórcy

autor

M. S. Moslehian

• Department of Pure Mathematics, Center of Excellence in Analysis, on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran

autor

K. Sharif

• Department of Mathematics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
• School of Mathematics, Institute for Research, in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

autor

M. Forough

• Department of Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran

autor

M. Chakoshi

• Tusi Mathematical Research Group, P.O. Box 1113, Mashhad, Iran

Identyfikatory

DOI

10.4064/sm210-2-6