An axiomatic topological characterization of Hilbert space
- Volume: 52, Issue: 2, page 166-174
- ISSN: 0392-7881
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topSwart, Johan. "An axiomatic topological characterization of Hilbert space." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 52.2 (1972): 166-174. <http://eudml.org/doc/295638>.
@article{Swart1972,
author = {Swart, Johan},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {166-174},
publisher = {Accademia Nazionale dei Lincei},
title = {An axiomatic topological characterization of Hilbert space},
url = {http://eudml.org/doc/295638},
volume = {52},
year = {1972},
}
TY - JOUR
AU - Swart, Johan
TI - An axiomatic topological characterization of Hilbert space
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1972/2//
PB - Accademia Nazionale dei Lincei
VL - 52
IS - 2
SP - 166
EP - 174
LA - eng
UR - http://eudml.org/doc/295638
ER -
References
top- ANDERSON, R. D., Hilbert space is homeomorphic to the countable infinite product of lines, «Bull. Amer. Math. Soc.», 72, 515-519 (1966). Zbl0137.09703MR190888DOI10.1090/S0002-9904-1966-11524-0
- ANDERSON, R. D. and BING, R. H., A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, «Bull. Amer. Math. Soc.», 74, 771-792 (1968). Zbl0189.12402MR230284DOI10.1090/S0002-9904-1968-12044-0
- DE GROOT, J., Seminar Oberwolfach (1970) and Amsterdam (1971).
- O'CONNOR, J. YU., Supercompactness of compact metric spaces, «Proc. Kon. Ak. Wet. A'dam», 73, 30-34 (1970). MR264610
- FLETCHER, P., HOYLE, H. B. III and PATTY, C. W., The comparison of topologies, «Duke Math. Journal», 36, 325-331 (1969). Zbl0179.51004MR242107
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