TPFA-the answer book

The goal of the 5 Volumes of Theorems and Problems in Functional Analysis
- The Answer Book is to provide the complete solutions for the exercises compiled
in the ”core book” by A.A Kirillov and A.Gvichiani, ”Theorems and Problems in
Functional Analysis, MIR editions, 1979” (TPFA). The problems cover most of
the concepts of classical Functional Analysis: Distributions, Hilbert Spaces, Harmonic
Analysis, Spectral Theory... The 828 exercises provided in TPFA represent
an incredibly rich source of problems in order to train oneself in these fields. These
exercises also bring numerous original entry points for various subjects outside the
field of the theory developed in the core book. Finally, it is important to note that
while the volumes are obviously naturally bundled with the core book, they have
been written completely independently of it.
 We respect as far as possible the original notations and their conventions.