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- W190833696 abstract "This paper is devoted to a detailed study of the properties of the band projection D of the complete lattice ordered algebra − r(E) of the regular (or order bounded) operators of a Dedekind complete Banach lattice E onto the center Z(E) of E. We recall that the center Z(E) is the commutative subalgebra of − r(E) of all T satisfying |T| ≤ λI, where I is the identity operator. In the finite dimensional case, with respect to the standard numerical basis, Z(E) is the algebra of all diagonal matrices. For this reason the band projection D is called the diagonal map of E." @default.
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- W190833696 date "1995-01-01" @default.
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- W190833696 title "Diagonals of the Powers of an Operator on a Banach Lattice" @default.
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- W190833696 doi "https://doi.org/10.1007/978-3-0348-9076-2_13" @default.
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