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Is there a name for this type of vector norm?

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#linear-algebra #matrices #normed-spaces #inner-products
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Eigenvalues of Inner Product Matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #inner-products
64
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Proving that $T:\mathbb R^N \rightarrow \mathbb R^N$ is not surjective

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#linear-algebra #vector-spaces #transformation #inner-products
54
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Is the subspace generated by complete othogonal subspaces closed?

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#general-topology #inner-products
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Understanding of non-degeneracy and inner product

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#linear-algebra #inner-products
868
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Gradient of inner product in Hilbert space

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#derivatives #hilbert-spaces #inner-products
295
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What is the minimizer of the matrix norm and it's significance?

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#linear-algebra #matrices #optimization #numerical-methods #inner-products
761
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A Proof of a False Result: If $U$ is $T$-invariant, then so is $U^\perp$.

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#linear-algebra #inner-products #orthogonality #fake-proofs #trace
1.8k
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How can we derive the projection formula in general?

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#functional-analysis #vector-spaces #inner-products
91
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How to do this last step in this proof that inner product preserving implies linear?

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#linear-algebra #inner-products
238
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Topology property of inner product and norm

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#linear-algebra #functional-analysis #inner-products #topological-vector-spaces
81
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An inner product space has a vector related to an arbitrary collection of scalars

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#linear-algebra #inner-products
59
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How is the orthogonal projection on to the span of the columns of a matrix determined by a chosen inner product?

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#linear-algebra #inner-products #matrix-equations #linear-transformations
88
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$L^2$ inner product split over sub-domains in $\mathbb{R}^3$

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#functional-analysis #hilbert-spaces #sobolev-spaces #inner-products #weak-derivatives
395
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Prob. 3, Sec. 3.2 in Kreyszig's Functional Analysis Book: Is the space of all polynomials of a fixed degree complete?

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#real-analysis #analysis #functional-analysis #normed-spaces #inner-products

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