The M- Projective Tensor of G 1-Manifold

Abstract Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of assumptions on X and Y, the answer can best be given as the projective tensor product of X ** and Y *.

SUBPROJECTIVITY OF PROJECTIVE TENSOR PRODUCTS OF BANACH SPACES OF CONTINUOUS FUNCTIONS

Glasgow Mathematical Journal ◽

10.1017/s0017089521000100 ◽

2021 ◽

pp. 1-14

Author(s):

R.M. CAUSEY

Keyword(s):

Tensor Product ◽

Banach Spaces ◽

Tensor Products ◽

Continuous Functions ◽

Hausdorff Spaces ◽

Projective Tensor ◽

Spaces Of Continuous Functions

Abstract Galego and Samuel showed that if K, L are metrizable, compact, Hausdorff spaces, then $C(K)\widehat{\otimes}_\pi C(L)$ is c0-saturated if and only if it is subprojective if and only if K and L are both scattered. We remove the hypothesis of metrizability from their result and extend it from the case of the twofold projective tensor product to the general n-fold projective tensor product to show that for any $n\in\mathbb{N}$ and compact, Hausdorff spaces K1, …, K n , $\widehat{\otimes}_{\pi, i=1}^n C(K_i)$ is c0-saturated if and only if it is subprojective if and only if each K i is scattered.

Types of Radon-Nikodym properties for the projective tensor product of Banach spaces

Illinois Journal of Mathematics ◽

10.1215/ijm/1258138106 ◽

2003 ◽

Vol 47 (4) ◽

pp. 1303-1326 ◽

Cited By ~ 7

Author(s):

Qingying Bu ◽

Joe Diestel ◽

Patrick Dowling ◽

Eve Oja

Keyword(s):

Tensor Product ◽

Banach Spaces ◽

Lexicographic Cones and the Ordered Projective Tensor Product

Trends in Mathematics - Positivity and Noncommutative Analysis ◽

10.1007/978-3-030-10850-2_30 ◽

2019 ◽

pp. 601-609

Author(s):

Marten Wortel

Keyword(s):

Tensor Product ◽

On the converse of Weyl’s conformal and projective theorems

Publications de l Institut Mathematique ◽

10.2298/pim1308055h ◽

2013 ◽

Vol 94 (108) ◽

pp. 55-65 ◽

Cited By ~ 5

Author(s):

Graham Hall

Keyword(s):

Positive Definite ◽

The Other ◽

Dimensional Problem ◽

Projective Tensor ◽

Definite Case

This note investigates the possibility of converses of the Weyl theorems that two conformally related metrics on a manifold have the same Weyl conformal tensor and that two projectively related connections on a manifold have the same Weyl projective tensor. It shows that, in all relevant cases, counterexamples to each of Weyl?s theorems exist except for his conformal theorem in the 4-dimensional, positive definite case, where the converse actually holds. This (conformal) 4-dimensional problem is then solved completely for the other possible signatures.

The classical subspaces of the projective tensor products of lpand C(α) spaces, α< ω1

Studia Mathematica ◽

10.4064/sm214-3-3 ◽

2013 ◽

Vol 214 (3) ◽

pp. 237-250

Author(s):

Elói Medina Galego ◽

Christian Samuel

Keyword(s):

Tensor Products ◽

Diagonals of projective tensor products and orthogonally additive polynomials

Studia Mathematica ◽

10.4064/sm221-2-1 ◽

2014 ◽

Vol 221 (2) ◽

pp. 101-115 ◽

Cited By ~ 1

Author(s):

Qingying Bu ◽

Gerard Buskes

Keyword(s):

Tensor Products ◽

Projective Tensor ◽

Orthogonally Additive

Johnson pseudo-contractibility of second duals of certain Banach algebras

Asian-European Journal of Mathematics ◽

10.1142/s1793557121500121 ◽

2019 ◽

pp. 2150012

Author(s):

A. Sahami ◽

E. Ghaderi ◽

S. M. Kazemi Torbaghan ◽

B. Olfatian Gillan

Keyword(s):

Tensor Product ◽

Matrix Algebra ◽

Banach Algebras ◽

Amenable Group ◽

Semigroup Algebra ◽

Archimedean Semigroup ◽

Projective Tensor ◽

The Matrix ◽

Second Dual

In this paper, we study Johnson pseudo-contractibility of second dual of some Banach algebras. We show that the semigroup algebra [Formula: see text] is Johnson pseudo-contractible if and only if [Formula: see text] is a finite amenable group, where [Formula: see text] is an archimedean semigroup. We also show that the matrix algebra [Formula: see text] is Johnson pseudo-contractible if and only if [Formula: see text] is finite. We study Johnson pseudo-contractibility of certain projective tensor product second duals Banach algebras.