NOTATION
In the following definitions, the first number is the number of the chapter and the
second number is the number of the section within that chapter.

Supp(/) support of a function: 12.6
<PA characteristic function of a subset A of
a set: 12.7
sup/a, inf/i upper and lower envelopes of a family of
a a real-valued functions: 12.7
limsup/n, liminf/n upper and lower limit of a sequence of
w~*°° n"°° real-valued functions: 12.7
opposite of a group G: 12.8
GL(E) group of automorphisms of a topological
vector space E: 12.8
A""1 set of elements x~l where xe A (where
A is a subset of a group in which the
group law is written multiplicatively):
12.8

AB set of elements xy with x e A and y e B,
where A and B are subsets of a group in
which the group law is written multi-
plicatively: 12.8

), ^f(H) normalizer and centralizer of a subset H
of a group: 12.8
set of finite products xtx2 ... xn (with n
arbitrary) of elements of a subset V of a
group: 12.8

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