The order continuity in ordered algebras
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DOI: 10.1007/s11117-016-0406-4
Abstract: Let A be an ordered algebra with a unit $$\mathbf{e}$$e and a cone $$A^+$$A+. The class of order continuous elements $$A_\mathrm{n}$$An of A is introduced and studied. If $$A=L(E)$$A=L(E), where E is a Dedekind complete Riesz space, this class… read more here.
Keywords: ordered algebra; order; space; mathbf ... See more keywords
Strict K-monotonicity and K-order continuity in symmetric spaces
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DOI: 10.1007/s11117-017-0540-7
Abstract: This paper is devoted to strict K-monotonicity and K-order continuity in symmetric spaces. Using a local approach to the geometric structure in a symmetric space E we investigate a connection between strict K-monotonicity and global… read more here.
Keywords: strict monotonicity; order continuity; order; continuity symmetric ... See more keywords