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Operator means, barycenters, and fixed point equations. [PDF]
Virosztek D.
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A Sparse Hierarchical <i>hp</i>-Finite Element Method on Disks and Annuli. [PDF]
Papadopoulos IPA, Olver S.
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Contextual measurement model and quantum theory. [PDF]
Khrennikov A.
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phase2: Full-State Vector Simulation of Quantum Time Evolution at Scale
Miller M+7 more
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Separability for Positive Operators on Tensor Product of Hilbert Spaces
Acta Mathematica Sinica, English Series, 2021The 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
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ON THE THEORY OF SINGULAR EXPANSION IN A TENSOR PRODUCT OF HILBERT SPACES
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
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Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces
Journal of Dynamical Systems and Geometric Theories, 2009Abstract 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
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Tensor product of the octonionic Hilbert spaces and colour confinement
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
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Regular Functions of Operators on Tensor Products of Hilbert Spaces [PDF]
A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the
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On weak convergence in an infinite tensor product of Hilbert spaces
Igor Burban
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