Inequality in Inner product spaces
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$\|u\|\leq \|u+av\| \Longrightarrow \langle u,v\rangle=0$
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In an incomplete inner product space, is a closed linear subspace equal to the orthogonal complement of its orthogonal complement?
86305
A secant inequality for convex functions
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Norm is sup of inner products (proof).
38850
How to show Von Neumann Trace inequality $ \text{Tr}(AB) \leq \sum_{i=1}^n \sigma_{A,i}\sigma_{B,i} $?
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Show that the operator norm is submultiplicative
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Show that a norm on an inner product space satisfies parallelogram law.
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$\sup_{0 \leq M \leq I_{\mathcal{H}_1}} \frac{\operatorname{Tr}[\rho M]}{\operatorname{Tr}[\sigma M]}$ satisfies Data Processing Inequality
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Linear Matrix Inequality of a matrix $T$ with $\| T \|_2 < \rho$
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$L^p$ Spaces, Young's Theorem, Convolutions, and Minkowski's Inequality
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What should we understand from the definition of orthogonality in inner product spaces other than $\mathbb R^n$?
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Question on equivalence of inner product
95030
Proving the Cauchy-Schwarz inequality by induction
78654
An example of a norm which can't be generated by an inner product
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Inequality similar to the Schwarz-Pick theorem
129549
Showing that the orthogonal projection in a Hilbert space is compact iff the subspace is finite dimensional
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Proof about inner product space $\vert \langle x,y\rangle \vert=\Vert x \Vert\Vert y \Vert$