Function Space

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function space

[′fəŋk·shən ‚spās]
A metric space whose elements are functions.

Function Space


a set of functions for which there is defined a notion of distance or, more generally, of proximity between any two functions. A function space is called linear if, along with any two elements f1 and f2 it contains all their linear combinations αf1, + βf2, where α and β are real or complex numbers. An example of a linear function space is the space C(a, b) of all continuous functions on the interval [a, b] with the distance p(f1, f2) between two functions being given by the formula

Function spaces are the most important concrete linear spaces studied in functional analysis. [28–388–1 ]

References in periodicals archive ?
The scope of the renovation project undertaken by McGowan Builders included the installation of a new Bar Beacon lounge in the 260-room luxury hotel, in addition to the installation of new corporate office and kitchen facility and function spaces in the lower level.
Homotopy theory of function spaces and related topics; proceedings.
The buyer is planning a complete modernization in keeping with the inn's Georgian architectural details, including a complete updating of the guest rooms and baths, corridors, lobby, meeting and function spaces and dining facilities, said J.
In this paper we introduce some function spaces on time scales along with their dual spaces and obtain some relations between them.
Malkin Properties will incorporate into the property approximately 25,000 square feet of meeting and function space, including a 7,200 square-foot ballroom, a junior ballroom, numerous breakout meeting rooms, and ocean-view function and pre-function spaces.
This first looks at function spaces based on intrinsic properties of a function, such as its size, continuity, smoothness, and various forms of control over the mean oscillation.
Among their topics are the Choquet theory of functional spaces, simplificial function spaces, topologies on boundaries, constructions of function spaces, and functional spaces in potential theory and the Dirichlet problem.
Oasis West Realty LLC has now formally commenced the entitlement process with the City of Beverly Hills to master develop and further improve the site, while respecting the existing hotel tower, the successful public areas, the function spaces of the hotel, as well as its important westerly gateway location in the City of Beverly Hills.
Narrow operators on function spaces and vector lattices.
Conference on Function Spaces (5th: 2006: Edwardsville, IL) Ed.
Sleek and fashionable new function spaces clustered on the second and third levels offer a total service environment including the latest in information technology.
Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces.