Proceedings of the American Mathematical Society

Author(s): Wojciech Czaja
Journal: Proc. Amer. Math. Soc. 136 (2008), 867-871.
MSC (2000): Primary 42C15
Posted: November 30, 2007
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Abstract: We present an extension of a version of Naimark's dilation theorem which states that complete systems in a Hilbert space are projections of $\omega$ -linearly independent systems of elements of an ambient Hilbert space. This result is presented in the context of other known extensions of Naimark's theorem.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 42C15

Wojciech Czaja
Affiliation: Institute of Mathematics, University of Wroclaw, Pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland
Address at time of publication: Department of Mathematics, University of Maryland, College Park, Maryland 20742
Email: wojtek@math.umd.edu

DOI: 10.1090/S0002-9939-07-09048-X
PII: S 0002-9939(07)09048-X
Keywords: Naimark dilation theorem, frame, Bessel system, complete system, Riesz basis, representation system, Schauder basis, linearly independent system
Received by editor(s): January 3, 2005
Received by editor(s) in revised form: April 26, 2006
Posted: November 30, 2007
Additional Notes: The author was supported by Marie Curie Intra-European Fellowship FP6-2003-500685
Communicated by: David R. Larson
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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