query: Proximal Operator of an $ {L}_{\infty} $ Norm with a Constraint
positive_passages.docid: 146839
positive_passages.text: Orthogonal Projection onto the $ {L}_{\infty} $ Unit Ball
negative_passages.docid: 86110
negative_passages.text: Proximal Operator Fixed Point Property for Matrices
negative_passages.docid: 132595
negative_passages.text: $\sup_{0 \leq M \leq I_{\mathcal{H}_1}} \frac{\operatorname{Tr}[\rho M]}{\operatorname{Tr}[\sigma M]}$ satisfies Data Processing Inequality
negative_passages.docid: 146026
negative_passages.text: What is the norm of this bounded linear functional?
negative_passages.docid: 21070
negative_passages.text: Lim inf with norm and weak convergence
negative_passages.docid: 67283
negative_passages.text: Is $L^{p}$ space with alternate norm Banach?
negative_passages.docid: 51177
negative_passages.text: When are two norms equivalent on a Banach space?
negative_passages.docid: 31672
negative_passages.text: $L^p$-norm of the gradient of a harmonic function.
negative_passages.docid: 65840
negative_passages.text: Norm induced by metric
negative_passages.docid: 37072
negative_passages.text: Sharp interpolation inequality for Lebesgue spaces
negative_passages.docid: 11558
negative_passages.text: How to show that the limit of compact operators in the operator norm topology is compact
negative_passages.docid: 28822
negative_passages.text: $|x| - |y| \leq |x-y|?$
negative_passages.docid: 139272
negative_passages.text: On the norm of a quotient of a Banach space.
negative_passages.docid: 81240
negative_passages.text: Norm of an inverse operator: $\|T^{-1}\|=\|T\|^{-1}$?
negative_passages.docid: 38896
negative_passages.text: Prove that $A$ is bounded operator on $\ell^p$ and find $\| A\|$
negative_passages.docid: 3038
negative_passages.text: For positive invertible operators $C\leq T$ on a Hilbert space, does it follow that $T^{-1}\leq C^{-1}$?
negative_passages.docid: 31240
negative_passages.text: Prokhorov metric vs. total variation norm