Piotr Budzy'nski

activity

20242026

collaborators

4 papers

math.FA2026

Spectrally $n$ -centered operators. I

Piotr Budzyński

We introduce the concept of spectrally $n$ -centered operators and study it within the framework of unbounded weighted composition operators in $L^{2}$ -spaces. Based on this, we estab…

math.FA2026

Centered weighted composition operators on $L^{2}$ -spaces revisited

Piotr Budzyński

Centered weighted composition operators on $L^{2}$ -spaces are characterized. The characterization is obtained without the assumption that the operator is a product of a multiplicatio…

math.FA2025

Weakly centered weighted composition operators in $L^{2}$ -spaces

Piotr Budzyński

Weakly centered and spectrally weakly cenetered weighted composition operators in $L^{2}$ -spaces are characterized. Criteria for existence of invariant subspaces are given. Additiona…

math.FA2024

On complex symmetric weighted shifts

Chafiq Benhida, Piotr Budzyński

Unbounded complex symmetric weighted shifts are studied. Complex symmetric unilateral weighted shifts whose $C^{\infty}$ vectors contain the image of the canonical orthonormal basis…

Spectrally n-centered operators. I

Centered weighted composition operators on L2-spaces revisited

Weakly centered weighted composition operators in L2-spaces

On complex symmetric weighted shifts

Spectrally $n$ -centered operators. I

Centered weighted composition operators on $L^{2}$ -spaces revisited

Weakly centered weighted composition operators in $L^{2}$ -spaces