Aqzzouz, Belmesnaoui On some isomorphism on the category of \(b\)-spaces. (Russian, English) Zbl 1033.46057 Sib. Mat. Zh. 44, No. 5, 961-971 (2003); translation in Sib. Math. J. 44, No. 5, 749-756 (2003). Summary: Given a nuclear \(b\)-space \(N\), we show that if \(\Omega\) is a finite or \(\sigma\)-finite measure space and \(1\leq p\leq\infty\), then the functors \(L_{\text{loc}}^p (\Omega,N\varepsilon\cdot)\) and \(N\varepsilon L^p(\Omega,\cdot)\) are isomorphic on the category of \(b\)-spaces of L. Waelbroeck. Cited in 1 Document MSC: 46M15 Categories, functors in functional analysis 46A40 Ordered topological linear spaces, vector lattices 46M05 Tensor products in functional analysis Keywords:\(\varepsilon b\)-space; \(\varepsilon \)-product; \(L^p\)-space; vector measure PDFBibTeX XMLCite \textit{B. Aqzzouz}, Sib. Mat. Zh. 44, No. 5, 961--971 (2003; Zbl 1033.46057); translation in Sib. Math. J. 44, No. 5, 749--756 (2003) Full Text: EuDML EMIS