most citedThe Local Operator Moment Problem on

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math.FA20264 cited

The Local Operator Moment Problem on

Raul E. Curto, Abderrazzak Ech-charyfy, Hamza El Azhar +1

We study the connections between operator moment sequences of self-adjoint operators on a complex Hilbert space a…

math.FA2026

Propagation Phenomena for Operator-Valued Weighted Shifts

Raul E. Curto, Abderrazzak Ech-charyfy, Hamza El Azhar +1

This paper is devoted to the study of propagation phenomena for --hyponormal, quadratically hyponormal, and cubically hyponormal operator-valued weighted shifts. \ First, we sho…

math.FA2026

A Combinatorial Formula for Recursive Operator Sequences and Applications

Raul E. Curto, Abderrazzak Ech-charyfy, Kaissar Idrissi +1

We study sequences of bounded operators \((T_n)_{n \ge 0}\) on a complex separable Hilbert space \(\mathcal{H}\) that satisfy a linear recurrence relation of the form $$ T_{n+r} =…

math.FA2026

The Square Root Problem and Subnormal Aluthge Transforms of Recursively Generated Weighted Shifts

Raul E. Curto, Hamza El Azhar, Youssef Omari +1

For recursively generated shifts, we provide definitive answers to two outstanding problems in the theory of unilateral weighted shifts: the Subnormality Problem ({\bf SP}) (relate…

math.FA2024

On some properties of -EP and -hypo-EP operators

Rachid Semmami, Hamid Ezzahraoui, El Hassan Zerouali

This article, is devoted to -EP and -hypo-EP operators. We give some characteristic properties of these two classes and various links with other known classes in the literatu…