Sentence examples similar to the bounded operator over from inspiring English sources

where is the bounded operator, or as (2.13).

Every space E p t ( A ) is A-invariant and the restriction A | E p t is a bounded operator over E p t ( A ) with the norm ∥ A | E p t ∥ E p t ≤ t.

(ii) Every space E p t ( A ) is A-invariant and the restriction A | E p t is a bounded operator over E p t ( A ) with the norm ∥ A | E p t ∥ E p t ≤ t.   (iii) The spectrum of A has the property σ ( A | E p t ) ⊂ σ ( A ).   (iv) Every space E p t ( A ) is complete.  .

Then the operator is a bounded operator from to.

Therefore, is a bounded operator in the space of.

It is obvious that each weighted composition operator is a bounded operator on the ball algebra.

where the supremum is taken over all nondegenerate representations of as an algebra of bounded operator on a Hilbert space.

The case of a bounded operator can be treated assuming extra conditions on the operator.

After the famous result of Stampfli, for all bounded operator A the Weyl spectrum is (sigma_{W}(A)=bigcap sigma(A+K)) where the intersection is taken over all closed ideal compact operators.

For notational simplicity, we consider only the particular case where the nonlinearity b (u ) is a bounded operator.

Then the inverse Fourier transform defines a bounded operator (3.7).