List questions from inner-products

Published on 13 Apr 2026 - 18:11

36

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If $Z$ is a closed subset of Hilbert Space $X$, is it true that $Z\neq X \implies Z^{\perp}\neq \{0\}$?

Published on 15 Apr 2026 - 11:04

297

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Existence of non obtuse angle of n+2 vectors in n-dimensional euclidean space.

Published on 13 Apr 2026 - 9:37

14.6k

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Relation between linear independence and inner product

Published on 09 Apr 2026 - 13:37

451

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When would the inner product be non symmetric over the reals?

Published on 14 Apr 2026 - 20:50

1.3k

Views

dom(A) is a Banach space w.r.t. the Graph-norm

Published on 21 Apr 2026 - 4:39

69

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Representation of functional on overlapping areas

Published on 10 Apr 2026 - 19:06

140

Views

Prove $\left\langle v | u \right\rangle = v\cdot (A^tAu) $ is an inner product

Published on 16 Apr 2026 - 14:26

128

Views

Sobolev Space with partial inner product

Published on 12 Apr 2026 - 11:01

1k

Views

For positive self adjoint $T$, show $|\langle Tx,y\rangle|^2 \le \langle Tx,x\rangle \langle Ty,y\rangle$

Published on 29 Mar 2026 - 9:11

16.9k

Views

When is a norm induced by an inner product?

Published on 14 Apr 2026 - 2:47

2.8k

Views

Inverse of hermitian operator

Published on 09 Apr 2026 - 9:55

72

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Existence of operator $B^2=A$

Published on 12 Apr 2026 - 8:42

61

Views

Proof that $A=\lambda U$

Published on 14 Apr 2026 - 6:49

777

Views

Inner product on Complex Space - Proof

Published on 13 Apr 2026 - 17:16

List Question

Inner product on polynomials with complex argument

If $Z$ is a closed subset of Hilbert Space $X$, is it true that $Z\neq X \implies Z^{\perp}\neq \{0\}$?

Existence of non obtuse angle of n+2 vectors in n-dimensional euclidean space.

Relation between linear independence and inner product

When would the inner product be non symmetric over the reals?

dom(A) is a Banach space w.r.t. the Graph-norm

Representation of functional on overlapping areas

Prove $\left\langle v | u \right\rangle = v\cdot (A^tAu) $ is an inner product

Sobolev Space with partial inner product

For positive self adjoint $T$, show $|\langle Tx,y\rangle|^2 \le \langle Tx,x\rangle \langle Ty,y\rangle$

When is a norm induced by an inner product?

Inverse of hermitian operator

Existence of operator $B^2=A$

Proof that $A=\lambda U$

Inner product on Complex Space - Proof

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