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Some Notes on Weak Convergence in Hilbert Spaces
Document Title
EasyChair Preprint Nº 8883
Year (definitive publication)
2022
Language
English
Country
United Kingdom
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Abstract
We intend in this article critically review the weak convergence concept in the real Hilbert spaces domain. Indeed, the purpose is to review, correct and enlarge the paper by Ferreira (2014) on this subject, where is studied mainly its construction process. The main goal is to enlarge the Bolzano -Weierstrass theorem field of validity. Then it is discussed in which conditions weak convergence implies convergence.
Acknowledgements
This work is financed by national funds through FCT - Fundação para a Ciência e Tecnologia,
I.P., under the project UID/Multi/04466/2019. Furthermore, I would like to thank the Instituto
Universitário de Lisboa and ISTAR-IUL for their support.
Keywords
Hilbert spaces,Bolzano-Weierstrass theorem,weak convergence
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Physical Sciences - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UID/Multi/04466/2019 | FCT-Fundação para a Ciência e Tecnologia, I.P |
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