TY  - JOUR
ID  - Ambroziński2009
LB  - Ambroziński2009
AU  - Ambroziński, Zbigniew
AU  - Rudol, Krzysztof
TI  - Matrices defined by frames
ST  - Matrices defined by frames
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2009
VL  - 29
IS  - 4
SP  - 365
EP  - 375
DO  - http://dx.doi.org/10.7494/OpMath.2009.29.4.365
UR  - http://dx.doi.org/10.7494/OpMath.2009.29.4.365
AB  - 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.
KW  - frames
KW  - operators
KW  - spectrum
SN  - 1232-9274
ER  -