Sentence examples similar to of vector value from inspiring English sources

Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces.

The polarization sets refine the wave front sets of vector valued distributions.

An application to spaces of vector valued harmonic functions is given.

We classify the integer variables into blocks, each of which generates a finite set of vector values.

This paper is focused on bivariate distributions but the case of vector valued intensity measures can be treated accordingly.

Highest weight modules correspond to unitary representations of global Banach Lie groups realized in Hilbert spaces of vector valued holomorphic functions on the relevant domains in Hilbert spaces.

Our results have application on the summability of monomial coefficients of m-homogeneous polynomials P:ℓ∞→ℓp, as well as for the convergence theory of products of vector valued Dirichlet series.

In fact, by the mean value theorem of vector valued function, we have.

Let (C J, R^{n})) be the Banach space of vector-value continuous functions from (Jto R^{n}) endowed with the standard norm (|cdot|).

Denote by (C J, mathbb{R}^{n})) the metric space of vector-value continuous functions from (Jrightarrowmathbb{R}^{n}) endowed with the norm (|x| =sum^{n}_{i=1}|x_{i}(t)|), and consider its (|x|_{C}=max_{tin J}| x t)|).

Denote by (mathcal{C} J, mathbb {R}^{n})) the Banach space of vector-value continuous functions from (Jto mathbb {R}^{n}) endowed with the ∞-norm (Vert xVert =max_{tin J}vert x t)vert ) for a norm (vert cdot vert ) on (mathbb {R}^{n}).