Sentence examples for unconditional basis from inspiring English sources

Bishop Daily had said this month that the diocese would begin reporting accusations to law enforcement authorities on an unconditional basis, revising a policy under which charges were first evaluated internally.

"They will initially purchase on an unconditional basis €241m of the state's shareholding and are further committing to purchase the remainder of up to €882m after appropriate regulatory approvals have been obtained," the government statement said.

Lin in [8] showed that if has an unconditional basis with unconditional constant, then has the.

For every Banach space Z with a shrinking unconditional basis satisfying an upper p-estimate for some p>1, an isomorphically polyhedral Banach space is constructed which has an unconditional basis and admits a quotient isomorphic to Z.

Then we give a criterion for sequences of reproducing kernels which form an unconditional basis in their closed linear span.

Given a Banach space X with an unconditional basis, we consider the following question: does the identity operator on X factor through every operator on X with large diagonal relative to the unconditional basis?

Among other things they proved that a real Banach space with embeds almost isometrically in a space with a shrinking 1-unconditional basis and observed that and are equivalent if is reflexive.

We establish that ifEhas a 1-unconditional basis, thendist(E, ,W(C(E)))=‖E, ‖⩽dist (E, , W(L(E))),for all elementary operators EA, BonL(E), whereW stands for the weakly compact operators.

We will use García-Falset and Lloréns Fuster's paper on the AMC-property to prove that a Banach space that embeds in a subspace of a Banach space with a 1-unconditional basis has the property AMC and thus the weak fixed point property.

We proved, using property AMC shown by García-Falset and Lloréns Fuster [7] to imply the, that spaces that embed in a space with a 1-unconditional basis have the Combining this with Cowell and Kalton's results we were able to show that a reflexive real Banach space with WORTH and its dual both have, giving a partial answer to Sims' question.

Colleges will not make unconditional offers on the basis of AS grades alone".