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Gleb Pavlovich Akilov

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(1924 - 1986)

Gleb Pavlovich Akilov worked at the Chair of Mathematical Analysis
in 1947-1964. Being a postgraduate student, he suggested a new approach
to the problem of continuing linear operators by connecting this problem
with the theory of partially ordered spaces. Later his research interests
concerned the theory of locally convex spaces, the branch of functional
analysis which developped intensely in the 50s.

In 1957 Akilov organized
a seminar devoted to this subject. Scientific enthusiasm, great erudition
and outstanding personality of Akilov, his affability and openness attracted
to the seminar young mathematicians (A.M.Vershik, B.M.Makarov, V.N.Sudakov,
V.P.Khavin etc.).

The first edition of the
monograph "Functional analysis in normed spaces" by L.V.Kantorovich and
G.P.Akilov appeared in 1959. Along with classical results on functional
analysis, it reflected the works of Akilov and his pupils on the theory
of locally convex spaces.

A born teacher, a brilliant
lecturer, Akilov gave many lecture courses, in particular, an original
course on the theory of functions of real variables and a course on the
operator theory in Hilbert spaces. We should particularly mention the
reorganization
of the course on mathematical analysis initiated by Akilov. This reorganization
which resulted in uniting separate courses on mathematical analysis, the
theory of functions of real variables and the theory of functions of complex
variables in one course, was aimed to restore the teaching of analysis
as a united section of mathematics with its subjects and techniques. The
reorganization permitted to simplify the exposition, to avoid unnecessary
repetitions and to provide a base for modern courses on the probability
theory, functional analysis and mathematical physics. The importance of
this reorganization carried out at our Department owing to Akilov goes
beyond the limits of one university and remains actual at present.
See more at the Russian page

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*Last updated: 23.08.99*
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