Ulam Stability Problem for Frames

Laura Găvruţa () and Paşc Găvruţa ()
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Laura Găvruţa: “Politehnica” University of Timişoara
Paşc Găvruţa: “Politehnica” University of Timişoara

Chapter Chapter 11 in Functional Equations in Mathematical Analysis, 2011, pp 139-152 from Springer

Abstract: Abstract In this paper we give a solution to the Ulam stability problem for continuous Parseval frames in finite dimensional Hilbert spaces. We prove that if F is a nearly Parseval frame then there exists a Parseval frame near F. Also, we give generalizations of this result.

Keywords: Hyers–Ulam-Rassias stability; Frames (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_11

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DOI: 10.1007/978-1-4614-0055-4_11

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