170 citations
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17 papers · 1 filter
Kaczmarz algorithm in Hilbert space and tight frames
Ryszard Szwarc
We prove that any tight frame in Hilbert space can be obtained by the Kaczmarz algorithm. An explicit way of constructing this correspondence is given. The uniqueness of the corres…
Stabilization of Tsirelson-type norms on spaces
Anna Maria Pelczar
We consider classical Tsirelson-type norms of and their modified versions on spaces. We show that for any there is a constant such that consi…
Integer points on a curve and the plane Jacobian problem
Nguyen Van Chau
A polynomial map with Jacobian has a polynomial inverse of integer coefficients if the complex plane curve P=0 has infinitely ma…
Contour integrals as -invariant functions on the fundamental group
Marcin Bobienski
We introduce a general approach to contour integrals. It covers usual Abelian integrals, the higher order Melnikov integrals and the generalized Abelian integrals. We prove that th…
dd-sequences and partial Euler-Poincare' characteristics of Koszul complex
Nguyen Tu Cuong, Doan Trung Cuong
The aim of this paper is to introduce a new notion of sequences called dd-sequences and show that this notion may be convenient for studying the polynomial property of partial Eule…
Geometry of quantum systems: density states and entanglement
Janusz Grabowski, Marek Kuś, Giuseppe Marmo
Various problems concerning the geometry of the space $u^*(\cH)$ of Hermitian operators on a Hilbert space $\cH$ are addressed. In particular, we study the canonical Poisson and Ri…