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searching for Normed vector space 26 found (134 total)

Banach lattice (466 words) [view diff] exact match in snippet view article find links to article

analysis and order theory, a Banach lattice (X,‖·‖) is a complete normed vector space with a lattice order, ≤ {\displaystyle \leq } , such that for all

Quasi-relative interior (236 words) [view diff] exact match in snippet view article find links to article

denotes the closure of the conic hull. Let X {\displaystyle X} is a normed vector space, if C ⊆ X {\displaystyle C\subseteq X} is a convex finite-dimensional

Girth (functional analysis) (390 words) [view diff] exact match in snippet view article

vector spaces of a given dimension. The girth of the dual space of a normed vector space is always equal to the girth of the original space. Systolic geometry

Mazur's lemma (277 words) [view diff] exact match in snippet view article find links to article

theorem — Let ( X , ‖ ⋅ ‖ ) {\displaystyle (X,\lVert \cdot \rVert )} be a normed vector space and let { x j } j ∈ N ⊂ X {\displaystyle \left\{x_{j}\right\}_{j\in

Bishop–Phelps theorem (291 words) [view diff] exact match in snippet view article find links to article

theorem – Theorem in functional analysis Dual norm – Measurement on a normed vector space Eberlein–Šmulian theorem – Relates three different kinds of weak

Numerical linear algebra (2,507 words) [view diff] exact match in snippet view article find links to article

X → Y {\displaystyle f:X\to Y} , where X is a normed vector space of data and Y is a normed vector space of solutions. For some data point x ∈ X {\displaystyle

Continuous stochastic process (854 words) [view diff] exact match in snippet view article find links to article

R, but the definitions go through mutatis mutandis if S is Rn, a normed vector space, or even a general metric space. Given a time t ∈ T, X is said to

Banach–Stone theorem (580 words) [view diff] exact match in snippet view article find links to article

(which trivially has the same Banach space structure). Banach space – Normed vector space that is complete Théorème 3 of Banach, Stefan (1932). Théorie des

James's theorem (750 words) [view diff] exact match in snippet view article find links to article

functional analysis Bishop–Phelps theorem Dual norm – Measurement on a normed vector space Eberlein–Šmulian theorem – Relates three different kinds of weak

Random indexing (585 words) [view diff] case mismatch in snippet view article find links to article

Siegfried. (2014) random Manhattan integer indexing: Incremental L1 Normed Vector Space Construction, In Proceedings of the 2014 Conference on Empirical

List of Banach spaces (448 words) [view diff] exact match in snippet view article find links to article

and topological spaces Minkowski distance – Mathematical metric in normed vector space W.T. Gowers, "A solution to the Schroeder–Bernstein problem for Banach

F-space (1,205 words) [view diff] exact match in snippet view article find links to article

the codomain is necessarily a surjective open map. Banach space – Normed vector space that is complete Barreled space – Type of topological vector spacePages

Orlicz space (2,098 words) [view diff] exact match in snippet view article find links to article

) {\displaystyle L^{\varphi }(X)} is a Banach space — a complete normed vector space. Theorem. M Φ , L Φ ∗ {\displaystyle M_{\Phi },L_{\Phi ^{*}}} are

Linear span (2,268 words) [view diff] exact match in snippet view article find links to article

which contains the linear span of that set. Suppose that X is a normed vector space and let E be any non-empty subset of X. The closed linear span of

Riesz–Fischer theorem (1,885 words) [view diff] exact match in snippet view article find links to article

outside a μ {\displaystyle \mu } -negligible set. Banach space – Normed vector space that is complete Royden, H. L. (13 February 2017). Real analysis

Krein–Milman theorem (2,953 words) [view diff] exact match in snippet view article find links to article

⟹ {\displaystyle \implies } (*) [the unit ball of the dual of a normed vector space has an extreme point].... Theorem 2.1. (*) ⟹ {\displaystyle \implies

Intercept theorem (1,887 words) [view diff] exact match in snippet view article find links to article

theorem configuration always contains two similar triangles. In a normed vector space, the axioms concerning the scalar multiplication (in particular λ

Intercept theorem (1,887 words) [view diff] exact match in snippet view article find links to article

theorem configuration always contains two similar triangles. In a normed vector space, the axioms concerning the scalar multiplication (in particular λ

Basis (linear algebra) (4,730 words) [view diff] exact match in snippet view article

becomes "too big" in Banach spaces: If X is an infinite-dimensional normed vector space that is complete (i.e. X is a Banach space), then any Hamel basis

Lebesgue integration (5,660 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \left\|f\right\|=\int |f(x)|\,dx.} Then Cc is a normed vector space (and in particular, it is a metric space.) All metric spaces have

Projective space (5,658 words) [view diff] exact match in snippet view article find links to article

finite dimensional real vector space. Let S be the unit sphere in a normed vector space V, and consider the function π : S → P ( V ) {\displaystyle \pi :S\to

Pauli matrices (7,415 words) [view diff] exact match in snippet view article find links to article

encodes structures of R 3 {\displaystyle \mathbb {R} ^{3}} as a normed vector space and as a Lie algebra (with the cross-product as its Lie bracket)

Euclidean vector (9,031 words) [view diff] exact match in snippet view article find links to article

Euclidean space. In this case, a Euclidean vector is an element of a normed vector space of finite dimension over the reals, or, typically, an element of

Ultrafilter on a set (7,377 words) [view diff] exact match in snippet view article find links to article

⟹ {\displaystyle \implies } (*) [the unit ball of the dual of a normed vector space has an extreme point].... Theorem 2.1. (*) ⟹ {\displaystyle \implies

Hilbert space (17,476 words) [view diff] exact match in snippet view article find links to article

Gödel's incompleteness theorems. Mathematics portal Banach space – Normed vector space that is complete Fock space – Multi particle state space Fundamental

Geometric algebra (13,921 words) [view diff] exact match in snippet view article find links to article

product of a pseudo-Euclidean vector space, not the inner product on a normed vector space. Some authors may extend the meaning of inner product to the entire