Scientific journal paper
The Weak Convergence in Hilbert Spaces Concept Construction
Manuel Ferreira (Ferreira, M. A. M.);
Journal Title
Information Sciences and Computing
Year (definitive publication)
2014
Language
English
Country
India
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(Last checked: 2026-04-11 18:28)

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Abstract
It is intended in this article to critically review the weak convergence concept in the real Hilbert (Note 1) spaces domain. It is studied mainly its construction process, since the main goal was to generalize the Bolzano (Note 2)-Weierstrass (Note 3) theorem. Then it is discussed in which conditions weak convergence implies convergence.
Acknowledgements
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Keywords
Hilbert spaces,Bolzano-Weierstrass theorem,Weak convergence,Complexity spaces
Funding Records
Funding Reference Funding Entity
PEst-OE/EGE/UI0315/2014 Fundação para a Ciência e a Tecnologia
Publication Identifiers
cv-prod-id-2103013
ci-pub-17155
http://hdl.handle.net/10071/7714
Other Publication Details
2014
Information Sciences and Computing
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2321-8215 (print)
2321-8215 (online)
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2014 2
ISC260314
1 - 6
Yes
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