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

Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 153-173.

Résumé

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.

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