The regularity of Dunford-Pettis operators
Copyright policy )The regularity of Dunford-Pettis operators
Let λ \lambda denote a symmetric, solid Banach sequence space having { e i } i = 1 ∞ \left \{ {{e_i}} \right \}_{i = 1}^\infty as a symmetric basis and considered as a Banach lattice with order defined coordinatewise. A complete description of the relationship between regular and Dunford-Pettis operators T : L 1 [ 0 , 1 ] → λ T:{L^1}[0,1] \to \lambda is given. The results obtained complete earlier work of Gretsky and Ostroy and of the author in this area.
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Structure theory of linear operators, symmetric basis, Linear operators on function spaces (general), symmetric, solid Banach sequence space, Linear operators on ordered spaces, relationship between regular and Dunford-Pettis operators, Banach lattice, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
Structure theory of linear operators, symmetric basis, Linear operators on function spaces (general), symmetric, solid Banach sequence space, Linear operators on ordered spaces, relationship between regular and Dunford-Pettis operators, Banach lattice, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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