@Article{Ambroziński2009,
author = "Ambroziński, Zbigniew and Rudol, Krzysztof",
title = "Matrices defined by frames",
journal = "Opuscula Math.",
year = "2009",
volume = "29",
number = "4",
pages = "365--375",
doi = "http://dx.doi.org/10.7494/OpMath.2009.29.4.365",
url = "http://dx.doi.org/10.7494/OpMath.2009.29.4.365",
abstract = "Matrix representations of bounded Hilbert space operators are considered. The matrices in question are defined with respect to frames, rather than bases. The frames, a generalisation of bases, used extensively in applied harmonic analysis, are overcomplete sequences. We consider some properties related to tight frames, where, up to some multiplicative constant, a form of Parseval Identity takes place. We also describe parts of spectra of operators in terms of their matrices.",
keywords = "frames, operators, spectrum",
issn = "1232-9274"
}