Sentence examples for a functional on a from inspiring English sources

They proved that if is a functional on a real vector space satisfying for some fixed and all, then is either bounded or else for all.

We demonstrated a functional on-chip multi-microelectrode array within a microfluidic channel as a fully on-chip electrochemical cell under laminar flow.

Recall that, the Banach algebra A acts trivially on A from left if for each α ∈ A and a ∈ A, α · a = f a, where f is a continuous linear functional on A. Let A be a Banach A -bimodule with trivial left actions and σ be as in above lemma.

Ms. Ziegler's idea, a functional one on paper, was to turn a number of name directors loose with a small sum of money and instructions to create something spicy.

Let a "generalized measure" on A be a bounded linear functional on Fun(A).

Baillon and Haddad [39] showed in 1977 that if D ( A ) = H and A is the gradient of a convex functional on H, then A is 1 L -inverse strongly monotone if and only if A is L-Lipschitz continuous.

There are a positive linear functional on and a norm on, related to the norm of A by the equality for every.

A distribution on a manifold (M) is a linear functional on the functions on (M).

When contains constants, a linear functional on is called a mean on if.

where denotes a linear functional on given by involving a Stieltjes integral, and is a function of bounded variation.

For an even functional on a Banach space, the symmetric mountain pass lemma gives a sequence of critical values which converges to zero.