Principles of functional analysis in scales of spaces: Hahn--Banach theorem, Banach theorem on homomorphism, and theorems on open mapping and closed graph
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 153-173
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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.
@article{FPM_2006_12_5_a12,
author = {I. V. Orlov},
title = {Principles of functional analysis in scales of spaces: {Hahn--Banach} theorem, {Banach} theorem on homomorphism, and theorems on open mapping and closed graph},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {153--173},
publisher = {mathdoc},
volume = {12},
number = {5},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a12/}
}
TY - JOUR AU - I. V. Orlov TI - Principles of functional analysis in scales of spaces: Hahn--Banach theorem, Banach theorem on homomorphism, and theorems on open mapping and closed graph JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2006 SP - 153 EP - 173 VL - 12 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a12/ LA - ru ID - FPM_2006_12_5_a12 ER -
%0 Journal Article %A I. V. Orlov %T Principles of functional analysis in scales of spaces: Hahn--Banach theorem, Banach theorem on homomorphism, and theorems on open mapping and closed graph %J Fundamentalʹnaâ i prikladnaâ matematika %D 2006 %P 153-173 %V 12 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a12/ %G ru %F FPM_2006_12_5_a12
I. V. Orlov. Principles of functional analysis in scales of spaces: Hahn--Banach theorem, Banach theorem on homomorphism, and theorems on open mapping and closed graph. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 153-173. http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a12/