R. Cianci et A. Khrennikov, P-ADIC SUPERANALYSIS .1. INFINITELY GENERATED BANACH SUPERALGEBRAS AND ALGEBRAIC-GROUPS, Journal of mathematical physics, 34(5), 1993, pp. 1986-1994
A sequence of infinitely generated p-adic Banach superalgebras and the
ir locally convex projective and inductive limits were constructed; th
eir spectral properties are characterized herein and by studying the a
lgebras of matrices constructed with these superalgebras an exponentia
l map and its inverse can be defined. Some examples of superalgebra wi
th pathological spectral properties are discussed.