Zbigniew Burdak

activity

20122026

H^{2} (T^{2})

and

L^{2} (T^{2})

preserving compatibility

3 citations · 3 across the 6 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.FA2026

On the diversity of twisted commuting operators

Zbigniew Burdak

Operators are called twisted commuting if the deformation from commutativity is determined by a unitary operator, including multiplication by a unimodular constant. The aim of the…

math.FA2017★ 3 cited

Invariant subspaces of $H^{2} (T^{2})$ and $L^{2} (T^{2})$ preserving compatibility

Zbigniew Burdak, Marek Kosiek, Patryk Pagacz +1

Operators of multiplication by independent variables on the space of square summable functions over the torus and its Hardy subspace are considered. Invariant subspaces where the o…

math.FA2012

On the unitary part of isometries in commuting, completely non doubly commuting pairs

Zbigniew Burdak, Marek Kosiek, Marek Słociński

There are considered isometries on a Hilbert space. By the Wold theorem any isometry can be decomposed into a unitary operator and a unilateral shift. For a pair of isometries, eve…

On the diversity of twisted commuting operators

Invariant subspaces of H2(T2) and L2(T2) preserving compatibility

On the unitary part of isometries in commuting, completely non doubly commuting pairs

Invariant subspaces of $H^{2} (T^{2})$ and $L^{2} (T^{2})$ preserving compatibility