- pre-Hilbert space
- sisätuloavaruus

*English-Finnish mathematical dictionary.
2011.*

- pre-Hilbert space
- sisätuloavaruus

*English-Finnish mathematical dictionary.
2011.*

**pre-Hilbert space**— noun An incomplete metric space with an inner product … Wiktionary**Hilbert space**— For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia**Hilbert space**— noun A generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications. See Also: linear algebra, vector space, inner product space, Banach space, pre… … Wiktionary**Inner product space**— In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… … Wikipedia**Energetic space**— In mathematics, more precisely in functional analysis, an energetic space is, intuitively, a subspace of a given real Hilbert space equipped with a new energetic inner product. The motivation for the name comes from physics, as in many physical… … Wikipedia**Compact space**— Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… … Wikipedia**Totally bounded space**— In topology and related branches of mathematics, a totally bounded space is a space that can be covered by finitely many subsets of any fixed size (where the meaning of size depends on the given context). The smaller the size fixed, the more… … Wikipedia**Orthonormal basis**— In mathematics, particularly linear algebra, an orthonormal basis for inner product space V with finite dimension is a basis for V whose vectors are orthonormal.[1][2][3] For example, the standard basis for a Euclidean space Rn is an orthonormal… … Wikipedia**Polarization identity**— In mathematics, and more specifically in the theory of normed spaces and pre Hilbert spaces in functional analysis, a vector space over the real numbers (the formula for the complex case is given in the article on Banach spaces) whose norm is… … Wikipedia**mathematics**— /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… … Universalium**Cylinder set measure**— In mathematics, cylinder set measure (or promeasure, or premeasure, or quasi measure, or CSM) is a kind of prototype for a measure on an infinite dimensional vector space. An example is the Gaussian cylinder set measure on Hilbert space. Cylinder … Wikipedia