scholarly journals A note on the p-operator space structure of the p-analog of the Fourier-Stieltjes algebra

2021 ◽  
Author(s):  
Mohammad Ali Ahmadpoor ◽  
Marzieh Shams Yousefi
Keyword(s):  
Space Structure ◽  
Operator Space ◽  
Operator Space Structure

scholarly journals Operator space structure and amenability for Figà-Talamanca–Herz algebras

2004 ◽  
Vol 211 (1) ◽  
pp. 245-269 ◽  
Author(s):  
Anselm Lambert ◽  
Matthias Neufang ◽  
Volker Runde
Keyword(s):  
Space Structure ◽  
Operator Space ◽  
Operator Space Structure

On the operator space structure of Hilbert spaces

2011 ◽  
Vol 43 (6) ◽  
pp. 1205-1218
Author(s):  
Leslie J. Bunce ◽  
Richard M. Timoney
Keyword(s):  
Hilbert Spaces ◽  
Space Structure ◽  
Operator Space ◽  
Operator Space Structure

scholarly journals The Operator Amenability of Uniform Algebras

2003 ◽  
Vol 46 (4) ◽  
pp. 632-634 ◽  
Author(s):  
Volker Runde
Keyword(s):  
Space Structure ◽  
Uniform Algebra ◽  
Operator Space ◽  
Minimal Operator ◽  
Uniform Algebras ◽  
Operator Space Structure

AbstractWe prove a quantized version of a theorem by M. V. Sheĭnberg: A uniform algebra equipped with its canonical, i.e., minimal, operator space structure is operator amenable if and only if it is a commutative C*-algebra.

On the Duality of Operator Spaces

1995 ◽  
Vol 38 (3) ◽  
pp. 334-346 ◽  
Author(s):  
Christian Le Merdy
Keyword(s):  
Banach Space ◽  
Von Neumann Algebras ◽  
Related Result ◽  
Space Structure ◽  
Operator Space ◽  
Operator Spaces ◽  
Bounded Operators ◽  
Von Neumann ◽  
Operator Space Structure ◽  
Dual Banach Space

AbstractWe prove that given an operator space structure on a dual Banach space Y*, it is not necessarily the dual one of some operator space structure on Y. This allows us to show that Sakai's theorem providing the identification between C*-algebras having a predual and von Neumann algebras does not extend to the category of operator spaces. We also include a related result about completely bounded operators from B(ℓ2)* into the operator Hilbert space OH.

scholarly journals The maximal operator space of a normed space

1996 ◽  
Vol 39 (2) ◽  
pp. 309-323 ◽  
Author(s):  
Vern I. Paulsen
Keyword(s):  
Normed Space ◽  
Maximal Operator ◽  
Space Structure ◽  
Operator Space ◽  
Linear Maps ◽  
Operator Space Structure

We obtain some new results about the maximal operator space structure which can be put on a normed space. These results are used to prove some dilation results for contractive linear maps from a normed space into B(H). Finally, we prove CB(MIN(X), MAX(y)) = Γ2(X, Y) and apply this result to prove some new Grothendieck-type inequalities and some new estimates on spans of “free” unitaries.

scholarly journals Operator space structure of JC*-triples and TROs, I

2011 ◽  
Vol 270 (3-4) ◽  
pp. 961-982 ◽  
Author(s):  
Leslie J. Bunce ◽  
Brian Feely ◽  
Richard M. Timoney
Keyword(s):  
Space Structure ◽  
Operator Space ◽  
Operator Space Structure

scholarly journals On Minimal and Maximal p-operator Space Structures

2014 ◽  
Vol 57 (1) ◽  
pp. 166-177
Author(s):  
Serap Öztop ◽  
Nico Spronk
Keyword(s):  
Tensor Product ◽  
Space Structure ◽  
Operator Space ◽  
Multiplication Operators ◽  
Space Structures ◽  
Projective Tensor Product ◽  
Projective Tensor ◽  
Operator Space Structure ◽  
Decomposable Measure

AbstractWe show that L∞(µ), in its capacity as multiplication operators on Lp(µ), is minimal as a p-operator space for a decomposable measure μ. We conclude that L1(μ) has a certain maximal type p-operator space structure that facilitates computations with L1(μ) and the projective tensor product.

scholarly journals A remark on the tensor product of two maximal operator spaces

1997 ◽  
Vol 40 (2) ◽  
pp. 375-381
Author(s):  
Christian Le Merdy
Keyword(s):  
Banach Space ◽  
Tensor Product ◽  
Banach Spaces ◽  
Maximal Operator ◽  
Space Structure ◽  
Operator Space ◽  
Operator Spaces ◽  
Operator Space Structure

Given a Banach space E, let us denote by Max(E) the largest operator space structure on E. Recently Paulsen-Pisier and, independently, Junge proved that for any Banach spaces E, F, isomorphically where and respectively denote the Haagerup tensor product and the spatial tensor product of operator spaces. In this paper we show that, in general, this equality does not hold completely isomorphically.

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