finitely representable

finitely representable

[¦fī‚nīt·lē ‚rep·rə′zen·tə·bəl]
(mathematics)
A Banach space A is said to be finitely representable in a Banach space B if every finite-dimensional subspace of A is nearly isometric to a subspace of B.
References in periodicals archive ?
Let Y be a Banach space with no finite cotype and suppose that [[DELTA].sub.r] is finitely representable in X.
We know that [l.sub.[infinity]] is finitely representable in Y from the celebrated Maurey-Pisier Theorem [1, Theorem 11.1.14 (ii)] and that [l.sub.r] is finitely representable in X by assumption.
In fact, if [l.sub.[infinity]] is finitely representable in X, then [l.sub.r] is finitely representable in X for every 1 [infinity] r < + [infinity] and the result follows.
This motivated research into using constraint logic programs (see Jaffar and Lassez [1987] and Jaffar and Maher [1994]) for querying finitely representable databases over the integer order.
Then these states are finitely representable, but not necessarily finite.