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Equivalence norm between two fundamental descompotition (krein spaces).

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#linear-algebra #functional-analysis #inner-products #spectral-theory
628
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Sum of range and kernel of normal linear transformation is a direct sum

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#linear-algebra #linear-transformations #inner-products #direct-sum
107
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orthogonal basis - counter example

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#linear-algebra #inner-products #orthonormal
190
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Orthogonality with respect to the standard inner product on $\mathbb{C}^{n\times1}$

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#linear-algebra #inner-products #orthogonality
574
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Invertible matrix of inner product values

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#linear-algebra #matrices #inner-products
369
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orthogonal direct sum - counter example

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#linear-algebra #inner-products #orthogonality #direct-sum
61
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Proving Dot Product property

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#linear-algebra #inner-products
278
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Finding the “expected” magnitude of the projection of a vector onto a random unit vector

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#linear-algebra #probability #vector-spaces #expectation #inner-products
75
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Problem about positive definite Hermitian form

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#linear-algebra #inner-products
83
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Must all inner-product preserving maps be linear?

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#linear-algebra #inner-products #isometry
571
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Hecke operators self-adjoint with respect to Petersson inner product

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#inner-products #modular-forms #hecke-algebras
416
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Inner product - orthogonal basis

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#linear-algebra #inner-products #orthonormal
155
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Prove $||x+y||=||x||+||y||$ in a Hilbert Space

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#functional-analysis #hilbert-spaces #inner-products
784
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triangle inequality for inner product spaces

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#inequality #triangles #inner-products
1.9k
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deriving an orthogonal base for polynomials of degree 3

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#linear-algebra #inner-products #gram-schmidt

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