David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Symbolic Logic 62 (2):493-505 (1997)
The role played by real-valued functions in functional analysis is fundamental. One often considers metrics, or seminorms, or linear functionals, to mention some important examples. We introduce the notion of definable real-valued function in functional analysis: a real-valued function f defined on a structure of functional analysis is definable if it can be "approximated" by formulas which do not involve f. We characterize definability of real-valued functions in terms of a purely topological condition which does not involve logic
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Jan E. Holly (1995). Canonical Forms for Definable Subsets of Algebraically Closed and Real Closed Valued Fields. Journal of Symbolic Logic 60 (3):843-860.
Predrag Šustar (2007). Neo-Functional Analysis: Phylogenetical Restrictions on Causal Role Functions. Philosophy of Science 74 (5):601-615.
Ron McClamrock (1993). Functional Analysis and Etiology. Erkenntnis 38 (2):249-260.
Gianni Bosi (2002). Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals. Theory and Decision 52 (4):303-312.
Deborah J. Brown (2012). Cartesian Functional Analysis. Australasian Journal of Philosophy 90 (1):75 - 92.
D. A. Bochvar & Merrie Bergmann (1981). On a Three-Valued Logical Calculus and its Application to the Analysis of the Paradoxes of the Classical Extended Functional Calculus. History and Philosophy of Logic 2 (1-2):87-112.
George Weaver (1994). A Note on Definability in Equational Logic. History and Philosophy of Logic 15 (2):189-199.
Predrag Sustar (2007). Neo‐Functional Analysis: Phylogenetical Restrictions on Causal Role Functions. Philosophy of Science 74 (5):601-615.
Barbara V. E. Klein (1978). The Role of Psychology in Functional Localization Research. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:119 - 133.
Added to index2009-01-28
Total downloads10 ( #168,059 of 1,679,344 )
Recent downloads (6 months)1 ( #183,792 of 1,679,344 )
How can I increase my downloads?