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

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Moslehian M., Sharif K., Forough M., Chakoshi M.

Studia Mathematica

2012

tom 210

nr 2

189-196

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.

Ograniczanie wyników

1 Studia Mathematica

1 Chakoshi M.

1 Forough M.

1 Moslehian M.

1 Sharif K.

1 2012

Wyniki wyszukiwania

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