Results 1 to 10 of about 91 (25)
Direct limit of matrix ordered spaces [PDF]
, 2005 In this paper we initiate the study of ordered f-bimodules as the inductive limit of matrix ordered ...
Anil K. Karn, J. V. Ramani, Sunil Yadav
core +2 more sources
, 2015 This work creates two categories of "array-weighted sets" for the purposes of constructing universal matrix-normed spaces and algebras. These universal objects have the analogous universal property to the free vector space, lifting maps completely ...
Grilliette, Will
core +1 more source
A generalization of the 0-numerical range [PDF]
, 2004 Let H be a complex Hilbert space. Given a bounded linear operator A on H, we describe the set Rn(A) = {V*AW : V,W : H, V*V = W*W = In, V*W = 0}. It is shown that the closed matricial convex hull of Rn(A) is a closed ball of radius min {|A - I| : }
Rajna Rajić
core +2 more sources
Facial structure of matrix convex sets
, 2022 This article investigates the notions of exposed points and (exposed) faces in the matrix convex setting. Matrix exposed points in finite dimensions were first defined by Kriel in 2019.
Klep, Igor, Štrekelj, Tea
core +1 more source
Uniqueness, universality, and homogeneity of the noncommutative Gurarij space [PDF]
, 2016 We realize the noncommutative Gurarij space NG defined by Oikhberg as the Fraïssé limit of the class of finite-dimensional 1-exact operator spaces. As a consequence we deduce that the noncommutative Gurarij space is unique up to completely isometric ...
Lupini, Martino
core +2 more sources
Projective tensor product of protoquantum spaces
, 2017 A proto-quantum space is a (general) matricially normed space in the sense of Effros and Ruan presented in a `matrix-free' language. We show that these spaces have a special (projective) tensor product possessing the universal property with respect to ...
Helemskii, A. Ya.
core +1 more source
Representations of étale groupoids on L^p -spaces [PDF]
, 2017 For p∈(1,∞), we study representations of étale groupoids on L^p-spaces. Our main result is a generalization of Renault's disintegration theorem for representations of étale groupoids on Hilbert spaces.
Gardella, Eusebio, Lupini, Martino
core +2 more sources
Representations of \'etale groupoids on $L^p$-spaces
, 2017 For $p\in (1,\infty)$, we study representations of \'etale groupoids on $L^{p}$-spaces. Our main result is a generalization of Renault's disintegration theorem for representations of \'etale groupoids on Hilbert spaces.
Gardella, Eusebio, Lupini, Martino
core +1 more source
Relative geometric assembly and mapping cones, Part II: Chern characters and the Novikov property [PDF]
, 2018 We study Chern characters and the assembly mapping for free actions using the framework of geometric $K$-homology. The focus is on the relative groups associated with a group homomorphism $\phi:\Gamma_1\to \Gamma_2$ along with applications to Novikov ...
Deeley, Robin J., Goffeng, Magnus
core +3 more sources
Caractérisation Des Espaces 1-Matriciellement Normés [PDF]
, 2002 Let X be a closed subspace of B(H) for some Hilbert space H. In [9], Pisier introduced Sp [X] (1 ≤ p ≤ +∞) by setting Sp [X] = (S∞ [X] , S1 [X])θ , (where θ =1/p , S∞ [X] = S∞ ⊗min X and S1 [X] = S1 ⊗∧ X) and showed that there are p ...
Le Merdy, Christian, Mezrag, Lahcéne
core