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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

2 votes
1 answer
116 views

What $n$-linear sums can be extracted from a product of linear polynomials in $m$ variables?

Let $\boldsymbol{c}_1, ..., \boldsymbol{c}_n$ be $n$ orthonormal, $m$-dimensional complex vectors, with $\boldsymbol{c}_i = (c_{i,1}, ..., c_{i,m})$. Consider the following polynomial in $x_1,..., x_m …
glS's user avatar
  • 342
0 votes
0 answers
43 views

What's the problem in using spanning Bessel sequences that are not frames to decompose vectors?

This is related to a question I recently asked on math.SE. Consider a subset $G\equiv \{g_k\}_{k\in\mathbb{N} }\subseteq\mathcal H$ in a separable Hilbert space $\mathcal H$, and suppose $G$ spans the …
glS's user avatar
  • 342