most citedMetric and homogeneous structure of closed range operators

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math.FA2005★ 6 cited

Metric and homogeneous structure of closed range operators

Gustavo Corach, Alejandra Maestripieri, Mostafa Mbekhta

Let $\CR$ be the set of all bounded linear operators between Hilbert spaces $\cH, \cK$. This paper is devoted to the study of the topological properties of $\CR$ if certain natural…

math.FA2000

The stability radius of linear operator pencils

C. Badea, M. Mbekhta

Let T and S be two bounded linear operators from Banach spaces X into Y and suppose that T is Fredholm and the stability number k(T;S) is 0. Let d(T;S) be the supremum of all r > 0…