query: Projection on a closed convex in a Banach space, without inner product.
positive_passages.docid: 17336
positive_passages.text: Least norm in convex set in Banach space
negative_passages.docid: 115350
negative_passages.text: An example of a Banach space isomorphic but not isometric to a dual Banach space
negative_passages.docid: 92497
negative_passages.text: Isometric Embedding of a separable Banach Space into $\ell^{\infty}$
negative_passages.docid: 118996
negative_passages.text: Prove that $T$ is an orthogonal projection
negative_passages.docid: 96717
negative_passages.text: Hahn-Banach Theorem for separable spaces without Zorn's Lemma
negative_passages.docid: 67283
negative_passages.text: Is $L^{p}$ space with alternate norm Banach?
negative_passages.docid: 156922
negative_passages.text: Proving convergence iff projection converges in product topology
negative_passages.docid: 97391
negative_passages.text: Prove that $(C^1[0,1], \|\cdot\|)$ is not a Banach space
negative_passages.docid: 110845
negative_passages.text: Convex Set with Empty Interior Lies in an Affine Set
negative_passages.docid: 25017
negative_passages.text: Why is every $p$-norm convex?
negative_passages.docid: 16943
negative_passages.text: Midpoint-Convex and Continuous Implies Convex
negative_passages.docid: 57609
negative_passages.text: Hahn-Banach proof by extension of basis
negative_passages.docid: 125277
negative_passages.text: Image of the tensor product of strict maps of Banach spaces
negative_passages.docid: 49087
negative_passages.text: Show that a norm on an inner product space satisfies parallelogram law.
negative_passages.docid: 86643
negative_passages.text: Convex function almost surely differentiable.
negative_passages.docid: 83970
negative_passages.text: Proof of an elementary property of Projection Operators
negative_passages.docid: 67313
negative_passages.text: Proving $\{(x_1, x_2) \in \mathbb{R}^2_{+} \mid x_1 x_2 \geq 1\}$ is convex