Newbetuts

In a real normed linear space if $||x||=||y||$ implies $\lim_{n \to \infty} ||x+ny||-||nx+y||=0$ , then the norm comes from an inner-product space?

Find shortest vectors $u_1,v_1,\cdots,u_N,v_N$ such that $\langle u_i,v_j\rangle=1$ if $i\le j$ and $\langle u_i,v_j\rangle=0$ if $i>j$

Can Hilbert spaces be defined over fields other than $\mathbb R$ and $\mathbb C$?

Show that vector v is equal to the zero vector

Infinite-dimensional inner product space: if $A \geq 0$ and if $\langle Ax, x\rangle = 0$ for some $x$, then $Ax = 0$.

Given $|| u + v || = || u - v ||$ show $\langle u , v\rangle = 0$

what is the difference between a Hermitian inner product and an inner product?

$T$ preserves inner product iff $\|T\alpha \|=\|\alpha\|$

How do I think intuitively about the properties of inner products?

Loomis and Sternberg - Orthogonality and Scalar Product

Intersection of nested closed bounded convex sets in Euclidean space

Invertibility Regarding Inner Product Spaces

Geometrical or Physical significance (interpretation) of the inner-product $\langle A,B \rangle := Trace (AB^t)$ over $M_n(\mathbb R)$

Continuity of scalar product

New posts in inner-products

Property of inner product space. [duplicate]

Prove norm doesn't come from inner product.

Proving the area is irrational for triangle with integer vertices

Scalar Product for Vector Space of Monomial Symmetric Functions

why scalar projection does not yield coordinates?

Does $S^\bot+T^\bot = (S\cap T)^\bot$ hold in infinite-dimensional spaces?

In a real normed linear space if $||x||=||y||$ implies $\lim_{n \to \infty} ||x+ny||-||nx+y||=0$ , then the norm comes from an inner-product space?

Find shortest vectors $u_1,v_1,\cdots,u_N,v_N$ such that $\langle u_i,v_j\rangle=1$ if $i\le j$ and $\langle u_i,v_j\rangle=0$ if $i>j$

Can Hilbert spaces be defined over fields other than $\mathbb R$ and $\mathbb C$?

Show that vector v is equal to the zero vector

Infinite-dimensional inner product space: if $A \geq 0$ and if $\langle Ax, x\rangle = 0$ for some $x$, then $Ax = 0$.

Given $|| u + v || = || u - v ||$ show $\langle u , v\rangle = 0$

what is the difference between a Hermitian inner product and an inner product?

$T$ preserves inner product iff $\|T\alpha \|=\|\alpha\|$

How do I think intuitively about the properties of inner products?

Loomis and Sternberg - Orthogonality and Scalar Product

Intersection of nested closed bounded convex sets in Euclidean space

Invertibility Regarding Inner Product Spaces

Geometrical or Physical significance (interpretation) of the inner-product $\langle A,B \rangle := Trace (AB^t)$ over $M_n(\mathbb R)$

Continuity of scalar product