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http://hdl.handle.net/10071/18106
acessibilidade
Title: The weak convergence in hilbert spaces concept construction (revisited)
Authors: Ferreira, M. A. M.
Keywords: Hilbert spaces
Bolzano-Weierstrass theorem
Weak convergence
Issue Date: 2019
Publisher: Universum Research E-Center
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.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/18106
ISSN: 2410-9738
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-57459
Appears in Collections:ISTAR-RI - Artigos em revistas científicas internacionais com arbitragem científica
BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica

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