Yazar "Bayram, Erdal" için Fen Edebiyat Fakültesi Koleksiyonu listeleme
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Banach lattices of L-weakly and M-weakly compact operators
Bayram, Erdal; Wickstead, A. W. (Springer Basel Ag, 2017)We give conditions for the linear span of the positive L-weakly compact (resp. M-weakly compact) operators to be a Banach lattice under the regular norm, for that Banach lattice to have an order continuous norm, to be an ... -
Invariant subspaces of operators quasi-similar to L-weakly and M-weakly compact operators
Bayram, Erdal (Scientific Technical Research Council Turkey-Tubitak, 2018)Let T be an L-weakly compact operator defined on a Banach lattice E without order continuous norm. We prove that the bounded operator S defined on a Banach space X has a nontrivial closed invariant subspace if there exists ... -
L- ve M-zayıf Kompakt Operatörlerin Sıra Yapısı Üzerine
Bayram, Erdal (2018)Banach örgüleri üzerinde tanımlı zayıf kompakt operatörlerin alt sınıfları olan L-zayıf ve M-zayıf kompaktoperatörlerin genelde vektör örgüsü olmadıkları bilinmesine rağmen sıra yapılarına dair çalışmalar literatürdegörü ... -
L-weakly and M-weakly compact operators and the centre
Bayram, Erdal; Wickstead, A. W. (Springer Basel Ag, 2017)We extend known results concerning the centre of spaces of regular (resp. weakly compact or compact) operators between two Banach lattices to the setting of L-weakly compact and M-weakly compact operators. We also show ... -
On the invariant supspace problem
Tonyalı, Cevriye; Bayram, Erdal (2013)In this study, we present invariant subspaces (subideals) for a class of operators (positive operators) related to M-weakly and L-weakly compact operators. Principally, these invariant subspaces can be conceivable for all ... -
On the Matrix Representations of Operators on the Classical Sequence Spaces
Bayram, Erdal (2019)The present study provides the necessary and sufficient conditions for the matrix characterizations of ??- and ??-weakly compact operators which are defined on certain classical sequence spaces as Banach lattices. It is ... -
Some compactness properties of L-weakly and M-weakly compact operators
Bayram, Erdal; Tonyali, C. (Springer, 2012)We present some compactness properties of L-weakly and M-weakly compact operators on a Banach lattice under additional conditions. Thus, we can say that every bounded operator which commutes with any L-weakly or M-weakly ...