supremum
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supremum
(suːˈpriːməm) nthe smallest quantity greater than or equal to each member of a set or subset
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
References in periodicals archive
We say that P is a lattice if for every two elements x, y [member of] P there exists a
least upper bound, which is called the join of x and y and is denoted by x [disjunction] p y, and there exists a greatest lower bound, which is called the meet of x and y and is denoted by x [conjunction] p y.
A linear operator P on H is a projection if it is self adjoint (P = [P.sup.*]) and idempotent (P = [P.sup.2] It is well known that the projections form a lattice where if P and Q are projections, the greatest lower bound P[conjunction]Q is the projection on the intersection of the range of P and the range of Q and the
least upper bound P V Q is the projection on the closure of the linear sum of the range of P with the range of Q (Holland 1970).
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