JP Journal of Geometry and Topology
Volume 21, Issue 3, Pages 167 - 179
(August 2018) http://dx.doi.org/10.17654/GT021030167 |
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INVARIANT NORMS ON THE SUBALGEBRAS OF C(X) CONSISTING OF BOUNDED FUNCTIONS WITH COUNTABLE IMAGE
A. Veisi
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Abstract: For a subalgebra A of we show that the sup-norm on A is invariant if and only if all dense ideals in A have dense cozero-sets in X. Moreover, we show that the maximal ring of quotients Qc(A) of A is metrically dense in the maximal ring of quotients Qc(X) of Cc(X). |
Keywords and phrases: invariant norm, ring of quotients, the sup-norm, zero-dimensional space. |
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