A remark on the homomorphism on C(X)

Ercan, Z
Onal, S
Let X be a real compact space. Without using the axiom of choice we present a simple and direct proof that a non-zero homomorphism on C(X) is determined by a point.


A remark on CD0(K)-spaces
Alpay, S.; Ercan, Z. (Springer Science and Business Media LLC, 2006-05-01)
A representation of the CDo (K)-space is given in [1, 2] for a compact Hausdorff space K without isolated points. We generalize this to an arbitrary countably compact space K without any assumption on isolated points.
On characterization of a Riesz homomorphism on C(X)-space
AKKAR ERCAN, ZÜBEYDE MÜGE; Önal, Süleyman (Informa UK Limited, 2007-06-01)
Let X be a realcompact space. We present a very simple and elementary proof of the well known fact that every Riesz homomorphism pi : C(X) -> R is point evaluated. Moreover, the proof is given in ZF.
A formula for the joint local spectral radius
Emel'yanov, EY; Ercan, Z (American Mathematical Society (AMS), 2004-01-01)
We give a formula for the joint local spectral radius of a bounded subset of bounded linear operators on a Banach space X in terms of the dual of X.
On homology of real algebraic varieties
Ozan, Yıldıray (American Mathematical Society (AMS), 2001-01-01)
Let R be a commutative ring with unity and X an R-oriented compact nonsingular real algebraic variety of dimension n. If i : X --> X-C is any nonsingular complexification of X, then the kernel, which we will denote by KHk(X, R), of the induced homomorphism i(*) : H-k(X, R) --> H-k(X-C, R) is independent of the complexification. In this work, we study KHk(X, R) and give some of its applications.
A note on a theorem of Dwyer and Wilkerson
Öztürk, Semra (Springer Science and Business Media LLC, 2001-01-03)
We prove a version of Theorem 2.3 in [1] for the non-elementary abelian group Z(2) x Z(2n), n greater than or equal to 2. Roughly, we describe the equivariant cohomology of (union of) fixed point sets as the unstable part of the equivariant cohomology of the space localized with respect to suitable elements of the cohomology ring of Z(2) x Z(2n).
Citation Formats
Z. Ercan and S. Onal, “A remark on the homomorphism on C(X),” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 3609–3611, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65682.