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The Diagonal Functors

Authors:	Yolanda Moreno

Institution:	(1) Departamento de Matemáticas, Escuela Politécnica de Cáceres, Universidad de Extremadura, Avda. Universidad s/n, 10071 Cáceres, Spain

Abstract:	We obtain new categorical proofs that generalize the diagonal principles introduced in Castillo and Moreno (Israel J. Math. 140:253–270, 2004) to study the automorphic and partially automorphic character of Banach spaces. We then introduce and study the automorphy index $\mathfrak a(\cdot)$ for a Banach space, showing that $\mathfrak a(l_\infty)= \aleph_0$ while $\mathfrak a(C0,1])=\aleph_1$ . This research has been supported in part by project MTM2004-02635.

Keywords:	Diagonal principles Short exact sequence Automorphic spaces Automorphy index Banach space
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