Sentence examples for a unconditional basis from inspiring English sources

It is evident that if the space has a unconditional basis, if is small enough, the above result remains true for some.

We show that the existence of a right inverse at each point for a holomorphic mapping from a pseudo-convex domain in a Banach space with an unconditional basis into a unital Banach algebra implies the existence of a holomorphic right inverse.

We show that for each Banach space X which has a dual with an unconditional basis (x*i), the approximable (nuclear) m-homogeneous polynomials on X have an unconditional basis if and only if the monomial basis with respect to (x*i) is unconditional.

end{aligned} (2.1) A Banach space with an unconditional basis is said to have a unique unconditional if any two seminormalized unconditional bases of X are equivalent.

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.

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.

The main step in our proof is to show that a vector Haar system forms an unconditional basis inL2(W).

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?

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

"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.