2 citations · 4 across the 5 of their papers we have counts for
5 papers
Noncommutative Kahler-like structures in quantization
Anatol Odzijewicz
One introduces the notion of C*-algebra with polarization which could be considered as the quantum Kahler structure. The connection of these algebras with Kostant-Souriou geometric…
Second order q-difference equations solvable by factorization method
Alina Dobrogowska, Anatol Odzijewicz
By solving an infinite nonlinear system of -difference equations one constructs a chain of -difference operators. The eigenproblems for the chain are solved and some applicat…
Extensions of Banach Lie-Poisson spaces
Anatol Odzijewicz, Tudor Ratiu
The extension of Banach Lie-Poisson spaces is studied and linked to the extension of a special class of Banach Lie algebras. The case of W*-algebras is given particular attention.…
Extensions of C*-algebras by partial isometries
A. Lebedev, A. Odzijewicz
In the present paper we study the structure of C*-$algebras generated by a certain *-algebra A and a partial isometry inducing an endomorphism of A.
On the structure of C*-algebras generated by the components of polar decompositions
A. Lebedev, A. Odzijewicz
In the present paper we study the structure of C^*-algebras generated by the components of the polar decompositions of operators in Hilbert space satisfying certain commutation rel…