query: A continuous mapping with the unbounded image of the unit ball in an infinite-dimensional Banach space
positive_passages.docid: 22641
positive_passages.text: Nonlinear function continuous but not bounded
negative_passages.docid: 128911
negative_passages.text: Continuous extension of a real function
negative_passages.docid: 115878
negative_passages.text: Continuous unbounded but integrable functions
negative_passages.docid: 60070
negative_passages.text: Unique uniformly continuous function into complete space
negative_passages.docid: 149999
negative_passages.text: fixed point of a continuous map on a projective space
negative_passages.docid: 28637
negative_passages.text: Proving continuous image of compact sets are compact
negative_passages.docid: 134575
negative_passages.text: Show that the mapping $f → f~'$ from $C^1([0 , 1])$ to $C([0 , 1])$ is not continuous.
negative_passages.docid: 140813
negative_passages.text: How do i prove that continuous linear transformation between normed spaces is bounded?
negative_passages.docid: 98756
negative_passages.text: Unit ball in $C[0,1]$ not sequentially compact
negative_passages.docid: 27265
negative_passages.text: Continuously differentiable map from $\mathbb{R}^{m+n}$ to $\mathbb{R}^n$
negative_passages.docid: 32359
negative_passages.text: Inner product of two continuous maps is continuous
negative_passages.docid: 71001
negative_passages.text: Do continuous linear functions between Banach spaces extend?
negative_passages.docid: 74501
negative_passages.text: $\delta : C([0,1])\to\mathbb{R}$, $f\mapsto f(0)$, with sup-norm is bounded but unbounded with one-norm.
negative_passages.docid: 80618
negative_passages.text: Surjective bounded operator in Banach spaces without bounded right-inverse
negative_passages.docid: 31747
negative_passages.text: Uniqueness of continuous extension from $A$ to $\overline{A}$ for maps into a Hausdorff space
negative_passages.docid: 65346
negative_passages.text: Characterisation of uniformly continuous function
negative_passages.docid: 4538
negative_passages.text: Is the mapping $ d : X\times X \mapsto \mathbb {R} $ continuous?