The Experts below are selected from a list of 324 Experts worldwide ranked by ideXlab platform

Abraham Rueda Zoca - One of the best experts on this subject based on the ideXlab platform.

  • almost squareness and strong diameter two property in Tensor Product spaces
    Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas, 2020
    Co-Authors: Abraham Rueda Zoca
    Abstract:

    We study almost squareness and the strong diameter two property in the setting of projective (symmetric) Tensor Product of Banach spaces. We prove that almost squareness is stable by taking projective Tensor Products, providing non-trivial examples of ASQ projective Tensor Products of Banach spaces. Furthermore, we give sufficient conditions for a projective symmetric Tensor Product to have the strong diameter two property. This extend most of the previously known results and provide new examples of projective symmetric Tensor Product spaces with the strong diameter two property.

  • almost squareness and strong diameter two property in Tensor Product spaces
    arXiv: Functional Analysis, 2018
    Co-Authors: Abraham Rueda Zoca
    Abstract:

    We study almost squareness and the strong diameter two property in the setting of projective (symmetric) Tensor Product. We prove that almost squareness is preserved by taking projective Tensor Product, providing non-trivial examples of ASQ projective Tensor Product spaces. Furthermore, we give sufficient conditions for a projective symmetric Tensor Product to have the strong diameter two property which extend most of the known results and provide new examples of such spaces with the strong diameter two property.

Katsunori Kawamura - One of the best experts on this subject based on the ideXlab platform.

  • A Tensor Product of Representations of Cuntz Algebras
    Letters in Mathematical Physics, 2007
    Co-Authors: Katsunori Kawamura
    Abstract:

    We introduce a nonsymmetric and associative Tensor Product among representations of Cuntz algebras by using embeddings. Since the Tensor Product of permutative representations is also a permutative representation, the decomposition of such a Tensor Product is unique up to unitary equivalence. We show the decomposition formulae explicitly. As an application, we show properties of concrete endomorphisms.

José I. Liberati - One of the best experts on this subject based on the ideXlab platform.

  • Tensor Product of modules over a vertex algebra
    Advances in Mathematics, 2018
    Co-Authors: José I. Liberati
    Abstract:

    Abstract We find a necessary and sufficient condition for the existence of the Tensor Product of modules over a vertex algebra. We define the notion of vertex bilinear map and provide two algebraic constructions of the Tensor Product, where one of them is of ring theoretical type. We show the relation between Tensor Product and vertex homomorphisms. We prove commutativity of the Tensor Product. We also prove associativity of the Tensor Product of modules under certain necessary and sufficient condition. Finally, we show certain functorial properties of vertex homomorphism and the Tensor Product.

  • Tensor Product of modules over a vertex algebra
    arXiv: Quantum Algebra, 2016
    Co-Authors: José I. Liberati
    Abstract:

    We found a necessary and sufficient condition for the existence of the Tensor Product of modules over a vertex algebra. We defined the notion of vertex bilinear map and we provide two algebraic construction of the Tensor Product, where one of them is of ring theoretical type. We show the relation between the Tensor Product and the vertex homomorphisms. We prove the commutativity of the Tensor Product. We also prove the associativity of the Tensor Product of modules under certain necessary and sufficient condition. Finally, we show certain functorial properties of the vertex homomorphims and the Tensor Product.

Heinz-jürgen Flad - One of the best experts on this subject based on the ideXlab platform.

  • Tensor Product approximation with optimal rank in quantum chemistry
    Journal of Chemical Physics, 2007
    Co-Authors: Sambasiva Rao Chinnamsetty, Boris N. Khoromskij, Mike Espig, Wolfgang Hackbusch, Heinz-jürgen Flad
    Abstract:

    Tensor Product decompositions with optimal separation rank provide an interesting alternative to traditional Gaussian-type basis functions in electronic structure calculations. We discuss various applications for a new compression algorithm, based on the Newton method, which provides for a given Tensor the optimal Tensor Product or so-called best separable approximation for fixed Kronecker rank. In combination with a stable quadrature scheme for the Coulomb interaction, Tensor Product formats enable an efficient evaluation of Coulomb integrals. This is demonstrated by means of best separable approximations for the electron density and Hartree potential of small molecules, where individual components of the Tensor Product can be efficiently represented in a wavelet basis. We present a fairly detailed numerical analysis, which provides the basis for further improvements of this novel approach. Our results suggest a broad range of applications within density fitting schemes, which have been recently successfully applied in quantum chemistry.

Ajay Kumar - One of the best experts on this subject based on the ideXlab platform.