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5. Functional Analysis, Operator Theory and Operator Algebras, Mathematical Physics

Rhaly Operators in $l^{2}$

Gabriel Prăjitură
SUNY Brockport, NY, USA

Abstract:

Rhaly operators are one of possible generalizations of the Cesaro Operator. We will discuss some of their properties in Hilbert spaces and go over some open problems as such when is a Rhaly operator bounded, when is it compact, what kind of spectral pictures are possible and so on. This is joint work with George Popescu from the University of Craiova.