query: Linearly independent linear functionals
positive_passages.docid: 144557
positive_passages.text: Linearly independent functionals
negative_passages.docid: 78344
negative_passages.text: Nonconstant linear functional on a topological vector space is an open mapping
negative_passages.docid: 40820
negative_passages.text: Weak convergence in separable Hilbert spaces
negative_passages.docid: 3040
negative_passages.text: Independence of points from same underlying function
negative_passages.docid: 28731
negative_passages.text: Banach space in functional analysis
negative_passages.docid: 91087
negative_passages.text: For which values $r, s \in \mathbb R$ is the set $\{u, v, w\}$ linearly independent?
negative_passages.docid: 111031
negative_passages.text: Matrix rank and linear independence of functions
negative_passages.docid: 61281
negative_passages.text: Finding maximal sublist of linearly independent vectors
negative_passages.docid: 84890
negative_passages.text: Extremising a functional with conditions
negative_passages.docid: 25654
negative_passages.text: E[X| X>Y] for independent X, Y ~ N(0,1)
negative_passages.docid: 10181
negative_passages.text: Entire one-to-one functions are linear
negative_passages.docid: 130765
negative_passages.text: Linear dependence of $\left\{x^{n}\,\colon\, n\in\mathbb{N}\right\}$
negative_passages.docid: 119947
negative_passages.text: Can a non-zero vector have zero image under every linear functional?
negative_passages.docid: 95340
negative_passages.text: Locally bounded additive function is linear
negative_passages.docid: 90691
negative_passages.text: Linear independence of vectors over larger fields
negative_passages.docid: 92497
negative_passages.text: Isometric Embedding of a separable Banach Space into $\ell^{\infty}$
negative_passages.docid: 53528
negative_passages.text: If $\ker f\subset \ker g$ where $f,g $ are non-zero linear functionals then show that $f=cg$ for some $c\in F$.