A note on invariant subspaces in locally convex space

Ömer Gök

In this paper we study the invariant subspaces of special operators on a space of continuous maps $C(K,X)$ from a compact Hausdorff space $K$ into a locally convex space~$X.$

1. Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw. The invariant subspace problem: Some recent advances, Rend. Istit. Mat. Univ. Trieste, 1 (1998), №29, 3--79.

2. C. D. Aliprantis, O. Burkinshaw. Positive Operators, Academic Press, Orlando, 1985.

3. Ö. Gök Characterization of the dual center of barelled space, Demonstratio Math., 31 (1998), 285--288.

4. H. Radjavi and P. Rosenthal. Invariant subspaces, Springer-Verlag, Berlin, New York, 1973.

5. H. H. Schaefer. Topological vector spaces, Springer-Verlag, New York, 1971.

	A note on invariant subspaces in locally convex space
Author	Ömer Gök gok@yildiz.edu.tr Yildiz Technical University,Faculty of Arts and Sciences,Mathematics Department, Davutpa\csa Campus,Istanbul, Turkey
Abstract	In this paper we study the invariant subspaces of special operators on a space of continuous maps $C(K,X)$ from a compact Hausdorff space $K$ into a locally convex space~$X.$
Keywords	invariant subspace, locally convex space, Hausdorff space
DOI	doi:10.30970/ms.32.1.73-75
Reference	1. Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw. The invariant subspace problem: Some recent advances, Rend. Istit. Mat. Univ. Trieste, 1 (1998), №29, 3--79. 2. C. D. Aliprantis, O. Burkinshaw. Positive Operators, Academic Press, Orlando, 1985. 3. Ö. Gök Characterization of the dual center of barelled space, Demonstratio Math., 31 (1998), 285--288. 4. H. Radjavi and P. Rosenthal. Invariant subspaces, Springer-Verlag, Berlin, New York, 1973. 5. H. H. Schaefer. Topological vector spaces, Springer-Verlag, New York, 1971.
Pages	73-75
Volume	32
Issue	1
Year	2009
Journal	Matematychni Studii
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