The Interplay of Frames and Operators
نویسنده
چکیده
This paper will look at the connection of operators and frames respectively related sequences from different viewpoints. We will give a survey of the classification of frames and similar sequences by the properties of the associated operators. Furthermore an important part will be the investigation of how to find a matrix representation of operators with Bessel sequences, frames and Riesz bases. Apart from that we will extend the well-known fact, that frames are exactly the images of orthonormal bases using surjective bounded operators. We will also shortly investigate which operator keep the properties of these kind of sequences.
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