Every frame is a sum of three (but not two) orthonormal bases—and other frame representations
نویسندگان
چکیده
منابع مشابه
Every Frame Is a Sum of Three (but Not Two) Orthonormal Bases - and Other Frame Representations
We show that every frame for a Hilbert space H can be written as a (multiple of a) sum of three orthonormal bases for H. We next show that this result is best possible by including a result of N.J. Kalton: A frame can be represented as a linear combination of two orthonormal bases if and only if it is a Riesz basis. We further show that every frame can be written as a (multiple of a) sum of two...
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ژورنال
عنوان ژورنال: The Journal of Fourier Analysis and Applications
سال: 1998
ISSN: 1069-5869,1531-5851
DOI: 10.1007/bf02479676