Function Space


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function space

[′fəŋk·shən ‚spās]
(mathematics)
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 ?
Meeting areas as defined in the Function Space section of this request form.
2 million renovation project culminating in a completely redesigned and refinished ballroom and function space.
Also, we will show that the Kothe r-dual space of a p-convex Banach function space is ij-concave for every q [less than or equal to] 1 such that 1/r = 1/p + 1/q.
In addition, the project scope included installing a new kitchen and pantry, a multi-purpose function space, fitness center and administrative offices.
Silver Reef features a total of 22,000 square feet of indoor function space including the Event Center with 10,000 square feet of space that the Chamber required for their business to consumer expo.
The 415-room hotel is currently offering a remodelled 24,000 square feet of function space, including meeting and pre-function space, a mezzanine level and third-floor meeting facilities.
More than pounds 150,000 has been invested to expand the capacity of Hall Green Banqueting Centre's function space by almost six-fold.
A wide range of meeting and function space can accommodate groups of varying sizes including an 8,600 square foot grand ballroom, a 4,300 square foot junior ballroom and additional indoor as well as outdoor function space for elegant events.
22, includes 317 rooms, 99 condos and 6 suites, a spa, fitness room, casino, 20,000 sq ft of function space, shops, restaurants, water sports.
In addition to the indoor space, the property has some 30,000 square feet of outdoor function space that includes a white sand beach.
The resort boasts 90,000 square feet of flexible meeting and function space and works closely with destination management companies to develop customized events and team-building retreats.
of function space, including our 300-seat amphitheater, Texas Learning Center.