Sentence examples for by the linear space from inspiring English sources

For every we denote by the linear space of all functions with (2.2).

For we denote by the linear space of all -vectors, spanned by the exterior product corresponding to all ordered -tuples,.

We denote by the linear space of Laurent polynomials with complex coefficients and by the dual algebraic space of.

Let be a complex linear space, and let, we denote by the linear space consisting of -tuples, where.

For every we denote by the linear space of all Bochner measurable functions with the property that the mapping lies in.

We denote by the linear space of all sequences with the property that the set is finite and by the identity operator on.

Denote by (E^{ast}) the linear space of all a.s.s

Denote by ({mathcal {E}}) the linear space generated by the indicator functions ({1}_{1}_t]},tin[0,T]).

bounded random linear functional if there is ξ ∈ L + 0 ( F ) such that ∥ f ( x ) ∥ ≤ ξ ∥ x ∥, ∀ x ∈ E. Denote by E ∗ the linear space of a.s.s

Recall that we denote by (mathbb {P}_n) the linear space of polynomials with real coefficients and degree less than or equal to n.

We denote by (mathcal{E}^{k}) the linear space (mathcal{E}opluscdotsoplusmathcal{E}) consisting of k-tuples ((x_{1}, ldots, x_{k})), where (x_{1}, ldots, x_{k}inmathcal{E}).