scholarly journals Extension of polynomials and John’s theorem for symmetric tensor products

2006 ◽  
Vol 135 (6) ◽  
pp. 1769-1773 ◽  
Author(s):  
Daniel Carando ◽  
Verónica Dimant
Keyword(s):  
Tensor Products ◽  
Symmetric Tensor ◽  
John's Theorem

Complementation in the Fremlin vector lattice symmetric tensor products-I

2019 ◽  
Vol 43 (5-6) ◽  
pp. 773-782 ◽  
Author(s):  
Donghai Ji ◽  
Khazhak Navoyan ◽  
Qingying Bu
Keyword(s):  
Vector Lattice ◽  
Tensor Products ◽  
Symmetric Tensor

scholarly journals DAUGAVET PROPERTY IN TENSOR PRODUCT SPACES

2019 ◽  
pp. 1-20 ◽  
Author(s):  
Abraham Rueda Zoca ◽  
Pedro Tradacete ◽  
Ignacio Villanueva
Keyword(s):  
Tensor Product ◽  
Banach Spaces ◽  
Tensor Products ◽  
Symmetric Tensor ◽  
Continuous Functions ◽  
Product Spaces ◽  
Projective Tensor ◽  
Spaces Of Continuous Functions ◽  
Daugavet Property

We study the Daugavet property in tensor products of Banach spaces. We show that $L_{1}(\unicode[STIX]{x1D707})\widehat{\otimes }_{\unicode[STIX]{x1D700}}L_{1}(\unicode[STIX]{x1D708})$ has the Daugavet property when $\unicode[STIX]{x1D707}$ and $\unicode[STIX]{x1D708}$ are purely non-atomic measures. Also, we show that $X\widehat{\otimes }_{\unicode[STIX]{x1D70B}}Y$ has the Daugavet property provided $X$ and $Y$ are $L_{1}$ -preduals with the Daugavet property, in particular, spaces of continuous functions with this property. With the same techniques, we also obtain consequences about roughness in projective tensor products as well as the Daugavet property of projective symmetric tensor products.

scholarly journals Centralisers of spaces of symmetric tensor products and applications

2006 ◽  
Vol 254 (3) ◽  
pp. 539-552 ◽  
Author(s):  
Christopher Boyd ◽  
Silvia Lassalle
Keyword(s):  
Tensor Products ◽  
Symmetric Tensor

scholarly journals More on Wilson toroidal networks and torus blocks

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Konstantin Alkalaev ◽  
Vladimir Belavin
Keyword(s):  
Boundary Conditions ◽  
Wilson Line ◽  
Tensor Products ◽  
Symmetric Tensor ◽  
Gravity Theory ◽  
Matrix Elements ◽  
Conformal Blocks ◽  
Finite Dimensional ◽  
The One ◽  
Chern Simons

Abstract We consider the Wilson line networks of the Chern-Simons 3d gravity theory with toroidal boundary conditions which calculate global conformal blocks of degenerate quasi-primary operators in torus 2d CFT. After general discussion that summarizes and further extends results known in the literature we explicitly obtain the one-point torus block and two-point torus blocks through particular matrix elements of toroidal Wilson network operators in irreducible finite-dimensional representations of sl(2, ℝ) algebra. The resulting expressions are given in two alternative forms using different ways to treat multiple tensor products of sl(2, ℝ) representations: (1) 3mj Wigner symbols and intertwiners of higher valence, (2) totally symmetric tensor products of the fundamental sl(2, ℝ) representation.

scholarly journals Note on Arens regularity of symmetric tensor products

2014 ◽  
Vol 6 (2) ◽  
pp. 372-376
Author(s):  
O.G. Taras ◽  
A.V. Zagorodnyuk
Keyword(s):  
Hilbert Space ◽  
Banach Spaces ◽  
Banach Algebras ◽  
Tensor Products ◽  
Symmetric Tensor ◽  
Arens Regularity

We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained.

Complementation in the Fremlin vector lattice symmetric tensor products-II

2019 ◽  
Vol 11 (1) ◽  
pp. 47-61
Author(s):  
Donghai Ji ◽  
Khazhak Navoyan ◽  
Qingying Bu
Keyword(s):  
Vector Lattice ◽  
Tensor Products ◽  
Symmetric Tensor
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