Sentence examples for space valued from inspiring English sources

Third, it yields vector-valued inequalities without having to use the theory of Banach space valued operators.

He estimated that commercial time and ad space valued at more than $150 million had been donated to proselytize for mentoring since the project began in 1997.

Under his proposal, the property will be preserved in perpetuity through a conservation easement to the Peconic Land Trust, a private, nonprofit land preservation organization, which has protected more than 4,000 acres of open space valued at over $100 million on the East End.

An integration theory of real valued functions with respect to Banach space valued measures is developed.

Further, we include a Banach space valued version of the Lindenstrauss ergodic theorem for amenable groups.

Indeed in [35] the authors only considered Banach space valued Orlicz spaces on the unit interval.

They make use of limit theorems for Hilbert-space valued piecewise deterministic Markov processes recently obtained in [14] as an extension of Kurtz's convergence theorems for jump Markov processes to the infinite-dimensional setting.

Then is a topological vector space-valued cone metric space.

Our main tool is the Banach space-valued rough path theory of T. Lyons.

Then is called a topological vector space-valued cone metric on, and is called a topological vector space-valued cone metric space.

Let be a complete topological vector space-valued cone metric space, be a cone and be positive integers.