ǂAn ǂapplication of S. Kurepa's extension of Jordan-Neumann charactization of pre-Hilbert space

Abstract

V članku je dokazan rezultat, ki karakterizira kompleksen Hilbertov prostor med vsemi kompleksnimi Hausdorffovimi bornološkimi in sodčastimi lokalnokonveksnimi vektorskimi prostori. Pri dokazu je uporabljen znan rezultat S. Kurepe.

Keywords

vector space;sesquilinear form;inner product;Hilbert space;bornological Hausdorff locally convex vector space;barrelled Hausdorff locally convex vector space;

Data

Language:	English
Year of publishing:	1986
Typology:	1.01 - Original Scientific Article
Organization:	UM EPF - Faculty of Economics and Business
UDC:	517.982
COBISS:	505348
ISSN:	0017-095X
Views:	761
Downloads:	29
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary title:	Uporaba neke razširitve Jordan-Neumannove karakterizacije predhilbertovega prostora
Secondary abstract:	Using a result due to S. Kurepa, which extends Jordan-Neumann characterization of pre-Hilber space, we prove a result, which can be considered as a characterization of complex Hilbert space among all complexes bornological and barrelled Hausdorff locally vector spaces.
Secondary keywords:	matematika;funkcionalna analiza;vektorski prostor;bilinearna forma;skalarni produkt;Hilbertov prostor;bornološki Hausdorffov lokalno konveksen prostor;sodčast Hausdorffov lokalno konveksen prostor;
URN:	URN:SI:UM:
Type (COBISS):	Not categorized
Pages:	str. 349-352
Volume:	ǂVol. ǂ21 (41)
Issue:	ǂno. ǂ2
Chronology:	1986
ID:	1471750