Dergi makalesi Açık Erişim
Kadets, Vladimir; Leonov, Alexander; Orhan, Cihan
{
"DOI": "10.1016/j.jmaa.2010.05.031",
"abstract": "For every weakly statistically convergent sequence (x(n)) with increasing norms in a Hilbert space we prove that sup(n) parallel to x(n)parallel to/root n < infinity This estimate is sharp We study analogous problem for sonic other types of weak filter convergence. in particular for the Erdos-Ulam filters, analytical P-filters and F-sigma filters We present also a refinement of the recent Aron-Garcia-Maestre result on weakly dense sequences that tend to infinity in norm (C) 2010 Elsevier Inc. All rights reserved.",
"author": [
{
"family": "Kadets",
"given": " Vladimir"
},
{
"family": "Leonov",
"given": " Alexander"
},
{
"family": "Orhan",
"given": " Cihan"
}
],
"container_title": "JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS",
"id": "25141",
"issue": "2",
"issued": {
"date-parts": [
[
2010,
1,
1
]
]
},
"page": "414-424",
"title": "Weak statistical convergence and weak filter convergence for unbounded sequences",
"type": "article-journal",
"volume": "371"
}
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