query: Finite dimensional dual space
positive_passages.docid: 154762
positive_passages.text: Dual space of a finite dimensional normed space
negative_passages.docid: 37060
negative_passages.text: The Parallelogram Identity for an inner product space
negative_passages.docid: 74884
negative_passages.text: Tensor product in dual-space
negative_passages.docid: 144731
negative_passages.text: Disjoint closed sets in a second countable zero-dimensional space can be separated by a clopen set
negative_passages.docid: 118564
negative_passages.text: Dual cone of a $L^1$ norm cone?
negative_passages.docid: 28238
negative_passages.text: A question about long exact sequence of finite dim vector spaces
negative_passages.docid: 143517
negative_passages.text: Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
negative_passages.docid: 17378
negative_passages.text: Characterize finite dimensional algebras without nilpotent elements
negative_passages.docid: 104607
negative_passages.text: Hahn-Banach theorem, dual space
negative_passages.docid: 83054
negative_passages.text: Let $E$ be a Banach space, prove that the sum of two closed subspaces is closed if one is finite dimensional
negative_passages.docid: 134065
negative_passages.text: A question about an $n$-dimensional subspace of $\mathbb{F}^{S}$.
negative_passages.docid: 33642
negative_passages.text: Finite dimensional subspace of $C([0,1])$
negative_passages.docid: 27478
negative_passages.text: Proof that two basis of a vector space have the same cardinality in the infinite-dimensional case
negative_passages.docid: 157046
negative_passages.text: Finite union sigma field
negative_passages.docid: 17748
negative_passages.text: Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
negative_passages.docid: 131890
negative_passages.text: Totally disconnected space that is not $T_2$
negative_passages.docid: 122121
negative_passages.text: Is there a vector space that cannot be an inner product space?