FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 5, PAGES 153-173

**Principles of functional analysis in scales of spaces: Hahn--Banach
theorem, Banach theorem on homomorphism, and theorems on open mapping
and closed graph**

I. V. Orlov

Abstract

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The Hahn--Banach theorem, the Banach theorem on homomorphism, and
theorems on open mapping and closed graph are transferred to
functionals and operators acting in inductive scales of spaces.
The applications to the operators acting in inductive limits and dual
spaces are considered.

Location: http://mech.math.msu.su/~fpm/eng/k06/k065/k06513h.htm

Last modified: February 21, 2007