Sentence examples for bounded operator in the from inspiring English sources

We define a two-parameter scale of Banach spaces contained in the contininuous functions on the space of probability measures on a compact metric space X, and show that the resolvent of the Fleming-Viot process is a bounded operator in the scale.

Therefore, is a bounded operator in the space of.

More precisely, if A is a two-transitive algebra with the closability property, then A is dense in the algebra of all bounded operators, in the weak operator topology.

Then, as Q is a bounded operator in L2, it follows from the relation for the resolvents of the operators L0 and L [[30], p. 219].

Theorem 1.2 Under the assumptions (i), (ii) and (iii) on the γ, the maximal Hilbert transform H ∗ is a bounded operator in L p ( R 2 ) for 1 < p < ∞.

If 1 < p < ∞, then S T Open image in new window is a bounded operator in L p ( T ) Open image in new window, and the operators P T ± : = 1 2 ( I ± S T ) Open image in new window.

Since is a bounded operator in BMO, this yields (2.14).

Then H [ a, f ] is a bounded operator in L p ( R ; E ), p ∈ ( 1, ∞ ).

where is non-self- -strictly pseudocontraction, is a contraction and is a strong positive linear bounded operator in Banach space.

Lemma 3.3 For j ∈ J, N j is a bounded operator in L p ( R ), 1 < p < ∞.

where is non-self -strictly pseudocontraction, is a MKC contraction and is a strong positive linear bounded operator in Banach space.