Results 161 to 170 of about 2,704,058 (212)

ON THE THEORY OF SINGULAR EXPANSION IN A TENSOR PRODUCT OF HILBERT SPACES

open access: closedRussian Academy of Sciences. Sbornik Mathematics, 1995
Approximation of an element in a tensor product of Hilbert spaces by a sum of products of elements in each of these spaces is considered. The existence of best approximation and the convergence of bilinear series are proved. An explicit representation for the best approximation is obtained.
V. V. Pospelov
semanticscholar   +4 more sources

Tensor product of the octonionic Hilbert spaces and colour confinement

open access: closedJournal of Physics A: Mathematical and General, 1978
The definition of the tensor product of the octonionic Hilbert spaces with complex geometry is proposed. This definition is based on the isomorphism (geometric and algebraic) of the octonionic Hilbert space with appropriate structure. It is found that the algebraic colour confinement holds only partially.
Jakub Rembieliński
semanticscholar   +4 more sources

Separability for Positive Operators on Tensor Product of Hilbert Spaces

Acta Mathematica Sinica, English Series, 2021
The separability and the entanglement (that is, inseparability) of the composite quantum states play important roles in quantum information theory. Mathematically, a quantum state is a trace-class positive operator with trace one acting on a complex separable Hilbert space.
Jinchuan Hou, Jin Fei Chai
openaire   +3 more sources

Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces

Journal of Dynamical Systems and Geometric Theories, 2009
Abstract The tensor product of frames in Hilbert spaces is introduced. It was shown that the tensor product of two frames is a frame for the tensor product of Hilbert spaces. The concept of tensor frame operator on tensor product of Hilbert space is given and results of it are presented.
N. Gopal Reddy   +2 more
openaire   +3 more sources

Phase space methods in a continuous tensor product of Hilbert spaces

open access: closedAIP Conference Proceedings, 2006
A continuum of coupled oscillators is considered, described by a continuous tensor product of Hilbert spaces. The mode position Ux and the mode momentum Up are operators which act collectively on all oscillators. They obey equations of motion which are very similar to those of a harmonic oscillator.
A. Vourdas
openalex   +3 more sources

Continuous tensor products of hilbert spaces and generalized random fields

Il Nuovo Cimento B Series 10, 1968
The infinite tensor product is generalized to a tensor product of certain Hilbert spaces over a topological index set. The criterion for positivity of characteristic functionals of generalized random processes is used to construct two distinct types of continuous tensor products.
R. F. Streater, A. Wulfsohn
openaire   +3 more sources

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