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19962026
most citedInfluence of measurement on the life-time and the line-width of unstable systems

48 citations

Showing math.FAShow all

5 papers · 1 filter

math.FA2026★ 4 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.FA2023

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.FA2021★ 1 cited

Square root problem and Subnormal Aluthge transforms

Hamza El Azhar, Abdelouahab Hanine, Kaissar Idrissi +1

For a non negative measure with atoms, we study the relation between the Square Root Problem of and the problem of subnormality of the Aluthge transform…

math.FA2013

Generalized Browder's and Weyl's Theorems for Generalized Derivations

Enrico Boasso, Mohamed Amouch

Given Banach spaces $\X$ and $\Y$ and Banach space operators $A\in L(\X)$ and $B\in L(\Y)$, let $ρ\colon L(\Y,\X)\to L(\Y,\X)$ denote the generalized derivation defined by and…