Ellipsoidal tight frames and projection decompositions of operators
نویسندگان
چکیده
منابع مشابه
Ellipsoidal Tight Frames and Projection Decompositions of Operators
We prove the existence of tight frames whose elements lie on an arbitrary ellipsoidal surface within a real or complex separable Hilbert space H , and we analyze the set of attainable frame bounds. In the case whereH is real and has finite dimension, we give an algorithmic proof. Our main tool in the infinite dimensional case is a result we have proven which concerns the decomposition of a posi...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2004
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138393