IJPAM: Volume 96, No. 1 (2014)

ON LINEAR AND MULTILINEAR MAPPINGS
OF NUCLEAR TYPE

B. Martin Cerna Maguiña$^1$, Janet Mamani Ramos$^2$,
Héctor F. Cerna Maguiña$^3$
$^1$Department of Mathematics
National University of Santiago Antúnez de Mayolo
Campus Shancayan, Av. Centenario 200, Huaraz, PERÚ
$^{2}$Academic Department of Environmental and Natural Resources Engineering
National University of Callao
Av. Juan Pablo II 306, Callao, PERÚ
$^3$Departamento Académico de Contabilidad
Universidad Nacional Mayor de San Marcos
Av. Universitaria 306, Lima, Perú


Abstract. In this work, a technique is used in order to demonstrate the following lemmas ``If $s\in\mathcal{F}(E,C(K))$, then $N^{0}_{\infty}(S)=\Vert S\Vert$'' and ``If $S\in\mathcal{F}(E,L_{p}(\Omega,\mu))$, then $K^{0}_{p}(S)=\Vert S\Vert$'' and open question is answered in 18.1.16 which belong to Albert Pietsch, at the same time Lemma 2.1 of B. M. Cerna is demonstrated consequently additional results has been got.


Dedicated to the memory of our father: B. Cerna Figueroa


Received: February 20, 2014

AMS Subject Classification: 47H60, 46G25, 47L20

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DOI: 10.12732/ijpam.v96i1.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 1
Pages: 15 - 25


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