An Isomorphic Version of Nakano's Characterisation of C 0 (Σ)

Author： Wickstead Anthony  

Publisher： Springer Publishing Company

ISSN： 1385-1292

Source： Positivity, Vol.11, Iss.4, 2007-11, pp. : 609-615

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

In 1941 Nakano gave a characterisation of real spaces C0(Σ) as M-spaces satisfying an additional restriction on their norm. We give an isomorphic version of Nakano's result which involves showing that for any Banach lattice (a suitably modified version of) Nakano's condition is equivalent to the norm on the Dedekind completion being Fatou.

Related content

Embedding c0 in bvca(Σ, X)

By Ferrando J.   Sánchez Ruiz L.  

Czechoslovak Mathematical Journal, Vol. 57, Iss. 2, 2007-06 ,pp. : 679-688 (10)

Springer Publishing Company

Access to resources Recommend Favorite

Two-dimensional quotients of C n are isomorphic to C 2 /Γ

By Gurjar R.V.  

Transformation Groups, Vol. 12, Iss. 1, 2007-03 ,pp. : 117-125 (9)

Springer Publishing Company

Access to resources Recommend Favorite

On Nuclear and Multiple Summing Bilinear Operators on c0 × c0

By Badea Gabriela  

Quaestiones Mathematicae, Vol. 33, Iss. 2, 2010-07 ,pp. : 253-261 (9)

Taylor & Francis Ltd

Access to resources Recommend Favorite

A Lemma On C 0 -semigroups And Applications

By Leiva Hugo  

Quaestiones Mathematicae, Vol. 26, Iss. 3, 2003-09 ,pp. : 247-265 (19)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Atomic structures of Si and Ge Σ = 13 [0 0 1] tilt grain boundaries studied by high-resolution electron microscopy and atomistic simulations

By Rouvière Jean-Luc  

Philosophical Magazine, Vol. 93, Iss. 10-12, 2013-04 ,pp. : 1230-1249 (20)

Taylor & Francis Ltd

Access to resources Recommend Favorite