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Results tagged with fa.functional-analysis
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user 157116
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Cut norm versus $l_1$ norm
Here I provide further details. There are 3 related quantities: the cut norm of any rectangular matrix cut(M), the taxicab matrix operator norm tmon(M), and Frobenius 1 norm F1n(M). The inequalities a …
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Cut norm versus $l_1$ norm
The attainable upper bound is 4. A sufficient condition is the following: Given that you are partitioning the square matrix in 4 parts, suppose the following two conditions: 1) in each submatrix the s …