CONTENTSIntroduction................................................................................................................................................. 5Preliminaries.............................................................................................................................................. 9§ 1. Regular operators and their products............................................................................................ 11§ 2. Exaves. Extension and averaging operators................................................................................. 15§ 3. Linear multiplicative exaves and retractions. Localization principle......................................... 21§ 4. Integral representations and compositions of linear exaves.................................................... 22§ 5. Milutin spaces..................................................................................................................................... 27§ 6. Dugundji spaces................................................................................................................................ 34§ 7. Exaves and topological groups....................................................................................................... 37§ 8. Application to linear topological classification of spaces of continuous functions............... 40§ 9. Linear averaging operators and projections onto spaces of continuous functions.............. 47Notes and Remarks.................................................................................................................................. 59Appendix: Category-theoretical approach............................................................................................. 75Bibliography................................................................................................................................................ 80
@book{bwmeta1.element.desklight-a781ce7b-ef0c-4168-98ad-7c86ff63a306,
author = {A. Pe\l czy\'nski},
title = {Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1968},
zbl = {0165.14603},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-a781ce7b-ef0c-4168-98ad-7c86ff63a306}
}
A. Pełczyński. Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. GDML_Books (1968), http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-a781ce7b-ef0c-4168-98ad-7c86ff63a306/