] also gives the precise innite-dimensional formulation.
D
an71
General nonsmooth analysis (which includes convex analysis) is covered in Clarke
],
Cla83
which gives the precise formulation of the concepts of this chapter in innite-dimensional
(Banach) spaces. Chapter 2 of Clarke's book contains a complete calculus for subgradients
and quasigradients, including the subgradient computation tools of section 13.3 (and a lot
more).
Subgradients of Closed-Loop Convex Functionals
Subgradients of an
norm are given in Polak and Wardi
] several of the
H
PW82
1
other subgradients are derived in Polak and Salcudean
] and Salcudean's Ph.D.
PS89
thesis
].
Sal86
310