Vector lattice properties of sequence spacesderived from infinite matrices
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Abstract (EN)
In this thesis, a research on the vector lattice properties of sequence spaces derived from infinite matrices is given. In this context, some constructions including infinite matrices having nonnegative entries like Cesaro and Toeplitz matrices are taken , and linear and bounded operators defined by these matrices are considered. We see that nonnegativity of entries and solidness of sequence spaces are very important vector lattice properties , since they help us to define linear and bounded operators from a solid sequence space into itself and projective limit of sequence of solid sequence spaces. Actually these constructions provide us to find invariant subspace examples. Some of these construction techniques belongs to P. D. JOHNSON Jr. , R.N. MOHAPATRA and P. D. JOHNSON Jr. , F. POLAT .
Author
Merve Uludağ
How to Cite
Merve Uludağ (Master Thesis). Vector lattice properties of sequence spacesderived from infinite matrices, 2021, Çankırı Karatekin Üniversitesi.
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