Sentence examples for bounded projection on a from inspiring English sources

Recall [616, Section 2.1] that a (bounded) projection on a Banach space, X, is a bounded operator with (P^2=P).

As a consequence, it is shown that if B is an arbitrary bounded Boolean algebra of bounded projections on a Banach space X, then AlgLat B) is the weak operator topology closure of the linear span of B. These generalize the work of several authors.

There is a one-one correspondence between such direct sum decompositions and bounded projections.

As a preliminary, we want to recall the theory of spectral projections for general bounded operators, A, on a Banach space, X.

Let E and F be two commuting bounded Boolean algebras of projections on a Banach spaceX.

Then there exists a bounded linear projection such that for each, and (1.3).

For which bilateral shifts is the analytic projection a bounded operator on ?

If for all polynomials p, then the analytic projection is a bounded operator on.

If for all polynomials q in z-1, then the analytic projection is a bounded operator on.

Theorem 7. If σ(M z ) is a spectral set for M z, then the analytic projection is a bounded operator on.

We show that "Toeplitz like" operators of the formTsuf=Ps uf), wherePsis a weighted Bergman projection, are bounded on the Hardy spacesHp, for 1⩽p<∞ for certain "symbols"udefined on the unit disk.