F. Athmane

Search this author in Google Scholar

Articles: 1

The dual of $ (p,\sigma)$-weakly summable sequences space and its application

MFAT 32 (2026), no. 2, 139-151

139-151

In this paper, we prove that the space of strongly $(r, p, \sigma)$-summable sequences is the topological dual of the space of $(p, \sigma)$-weakly summable sequences. As an application, we provide a new proof that an operator $ T: E \to F $ is $(p, \sigma)$-absolutely continuous if and only if its adjoint $ T^*: F^* \to E^* $ is strongly $(p^*, \sigma)$-continuous.

All Issues

2026 1 2
2025 1 2 3 4
2024 1-2 3-4
2023 1-2 3-4
2022 1 2 3 4
2021 1 2 3 4
2020 1 2 3 4
2019 1 2 3 4
2018 1 2 3 4
2017 1 2 3 4
2016 1 2 3 4
2015 1 2 3 4
2014 1 2 3 4
2013 1 2 3 4
2012 1 2 3 4
2011 1 2 3 4
2010 1 2 3 4
2009 1 2 3 4
2008 1 2 3 4
2007 1 2 3 4
2006 1 2 3 4
2005 1 2 3 4
2004 1 2 3 4
2003 1 2 3 4
2002 1 2 3 4
2001 1 2 3 4
2000 1 2 3 4
1999 1 2 3 4
1998 1 2 3 4
1997 1 2 3 4
1996 1 2 3
1995 1