Multiplicative linear functionals of continuous functions are countably evaluated

Date

2008-02-01

Author

ERCAN, ZAFER
Önal, Süleyman

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

143
views

0
downloads

We prove that each nonzero algebra homomorphism pi : C(X) -> R is countably evaluated. This is applied to give a simple and direct proof (from the algebraic view) of the fact that each Lindelof space is realcompact.

Subject Keywords

Realcompact space, Riesz homomorphism, Algebra homomorphism

URI

https://hdl.handle.net/11511/46992

Journal

TAIWANESE JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.11650/twjm/1500602495

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Value sets of folding polynomials over finite fields Küçüksakallı, Ömer (2019-01-01) Let k be a positive integer that is relatively prime to the order of the Weyl group of a semisimple complex Lie algebra g. We find the cardinality of the value sets of the folding polynomials P-g(k)(x) is an element of Z[x] of arbitrary rank n >= 1, over finite fields. We achieve this by using a characterization of their fixed points in terms of exponential sums.
A remark on a paper of Blasco Ercan, Z. (2006-06-01) We generalize and give a simple proof of a Theorem of Blasco.
Value sets of Lattes maps over finite fields Küçüksakallı, Ömer (Elsevier BV, 2014-10-01) We give an alternative computation of the value sets of Dickson polynomials over finite fields by using a singular cubic curve. Our method is not only simpler but also it can be generalized to the non-singular elliptic case. We determine the value sets of Lattes maps over finite fields which are rational functions induced by isogenies of elliptic curves with complex multiplication.
Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem Dosi (Dosiev), A. A. (IOP Publishing, 2009-11-01) We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.
Some maximal function fields and additive polynomials GARCİA, Arnaldo; Özbudak, Ferruh (Informa UK Limited, 2007-01-01) We derive explicit equations for the maximal function fields F over F-q(2n) given by F = F-q(2n) (X, Y) with the relation A(Y) = f(X), where A(Y) and f(X) are polynomials with coefficients in the finite field F-q(2n), and where A(Y) is q- additive and deg(f) = q(n) + 1. We prove in particular that such maximal function fields F are Galois subfields of the Hermitian function field H over F-q(2n) (i.e., the extension H/F is Galois).

Citation Formats

Z. ERCAN and S. Önal, “Multiplicative linear functionals of continuous functions are countably evaluated,” TAIWANESE JOURNAL OF MATHEMATICS, pp. 173–178, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46992.