matrices defined by frames
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ID: 163808
2009
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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.
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ambroziski2009opusculamatrices
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| Authors | ;Zbigniew Ambroziński;Krzysztof Rudol |
| Journal | zhonghua yi xue za zhi |
| Year | 2009 |
| DOI |
http://dx.doi.org/10.7494/OpMath.2009.29.4.365
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