[PDF][PDF] Bidual spaces and reflexivity of real normed spaces

K Narita, N Endou, Y Shidama - Formalized Mathematics, 2014 - sciendo.com
In this article, we considered bidual spaces and reflexivity of real normed spaces. At first we
proved some corollaries applying Hahn-Banach theorem and showed related theorems. In …

[PDF][PDF] Weak Convergence and Weak Convergence

K Narita, Y Shidama, N Endou - Formalized Mathematics, 2015 - sciendo.com
In this article, we deal with weak convergence on sequences in real normed spaces, and
weak* convergence on sequences in dual spaces of real normed spaces. In the first section …

[PDF][PDF] Cousin's lemma

R Coghetto - Formalized Mathematics, 2016 - sciendo.com
Cousin’s Lemma Page 1 FORMALIZED MATHEMATICS Vol. 24, No. 2, Pages 107–119,
2016 DOI: 10.1515/forma-2016-0009 degruyter.com/view/j/forma Cousin’s Lemma Roland …

[PDF][PDF] Open Mapping Theorem

H Sakurai, H Kunimune, Y Shidama - Formalized Mathematics, 2008 - sciendo.com
Open Mapping Theorem Page 1 FORMALIZED MATHEMATICS Vol. 16, No. 4, Pages 401–403,
2008 DOI: 10.2478/v10037-008-0048-5 Open Mapping Theorem Hideki Sakurai Shinshu …