Order-bounded Operators Research Articles

Boolean-Valued Analysis of Order-Bounded Operators

This is a survey of some recent applications of Boolean valued models of set theory to order bounded operators in vector lattices.

THE REGULARITY OF ORDER BOUNDED OPERATORS INTO C (K), II

Journal Article THE REGULARITY OF ORDER BOUNDED OPERATORS INTO C (K), II Get access Y. A. ABRAMOVICH, Y. A. ABRAMOVICH Department of Mathematics IUPUIIndianapolis, IN 46205 USA Search for other works by this author on: Oxford Academic Google Scholar A. W. WICKSTEAD A. W. WICKSTEAD Department of Pure Mathematics The Queen's University of BelfastBelfast BT7 INN Northern Ireland Search for other works by this author on: Oxford Academic Google Scholar The Quarterly Journal of Mathematics, Volume 44, Issue 3, September 1993, Pages 257–270, https://doi.org/10.1093/qmath/44.3.257 Published: 01 September 1993 Article history Received: 17 November 1991 Published: 01 September 1993

Order-bounded operators in vector lattices and in spaces of measurable functions

The survey is devoted to the presentation of the state of the art of a series of directions of the theory of order-bounded operators in vector lattices and in spaces of measurable functions. The theory of disjoint operators, the generalized Hewitt-Yosida theorem, the connection with p-absolutely summing operators are considered in detail.

On Multipliers and Order-Bounded Operators in C ∗ -Algebras

On Multipliers and Order-Bounded Operators in C ∗ -Algebras

On multipliers and order-bounded operators in 𝐶*-algebras

It is shown that the selfadjoint multipliers from a sub- C ∗ {C^{\ast }} -algebra to the bigger C ∗ {C^{\ast }} -algebra are exactly the order-bounded operators. As a corollary we get a characterization of the relative commutant of a sub- C ∗ {C^{\ast }} -algebra with unit.