Function Space

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function space

[′fəŋk·shən ‚spās]
A metric space whose elements are functions.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

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 ]

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Smaller groups will find the same level of sophistication offered by the area's larger convention sites at the award-winning Omni Jacksonville Hotel, with function space for up to 650, and across the river, at the Jacksonville Hilton and Towers, with 13,000 square feet dedicated to meetings.
Change of LBC Scottish Mutual Building, 15-16 Donegall Square Conversion of building to create 63 bed hotel with ancillary function space, bars and restaurants incl.
He will also work closely with other departments in setting annual budgets, creating yearlong strategic plans and supporting sales, catering and banquets, parties and other special events.<br />Prior to joining Royal Sonesta Harbor Court, Reed worked as a senior sous chef at the Gaylord National Hotel and Resort, a 2000-room property with more than 23,000 square feet of function space. Before that, he worked at various Marriott properties throughout Maryland.
The property boasts 15,000 square feet of function space, half of which is allocated to the hotel's outdoor terrace, along with a leased waterside restaurant and bar.
The team started staff and looking for |St Mary's Lighthouse Suite - This function space will offer opportunities for both intimate gatherings and larger events with a capacity of up to 200.
Part of the project included a modern extension to the west wing of the old house, which will create a function space especially designed to host events.
The application reveals plans to develop the upper floors of the Coal Exchange to create additional bedrooms and function space.
The Radisson Hotel Manchester has completed a 10-year, $2.2 million renovation project culminating in a completely redesigned and refinished ballroom and function space.
By combining Smart Space with IDeaS' suite of hotel revenue management solutions, IDeaS will continue to bridge the roles of revenue management and function space sales and marketing, signaling the growing need for technology solution providers to equip hotels with a more holistic approach to a combined sales and revenue management strategy.
Set on Collins Avenue and 16th Street, the Sagamore Hotel is comprised of two buildings including 93 guestrooms and suites, indoor/outdoor function space, a swimming pool, pool bar and full-service restaurant.