Results 1 to 10 of about 11,005 (183)
, 2001 The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics.
Chang, Woo-Nyoung +3 more
core +10 more sources
Computing with space: a tangle formalism for chora and difference [PDF]
, 2011 What is space computing,simulation, or understanding? Converging from several sources, this seems to be something more primitive than what is meant nowadays by computation, something that was along with us since antiquity (the word "choros", "chora ...
Buliga, Marius
core +2 more sources
Concerning the semistability of tensor products in Arakelov geometry [PDF]
, 2012 We study the semistability of the tensor product of hermitian vector bundles by using the $\varepsilon$-tensor product and the geometric (semi)stability of vector subspaces in the tensor product of two vector ...
Bost, Jean-Benoît, Chen, Huayi
core +3 more sources
Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras [PDF]
, 2014 We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Andruchow +25 more
core +1 more source
Radar orthogonality and radar length in Finsler and metric spacetime geometry [PDF]
, 2014 The radar experiment connects the geometry of spacetime with an observers measurement of spatial length. We investigate the radar experiment on Finsler spacetimes which leads to a general definition of radar orthogonality and radar length. The directions
Pfeifer, Christian
core +3 more sources
Convexity and the Euclidean metric of space-time
, 2017 We address the question about the reasons why the "Wick-rotated", positive-definite, space-time metric obeys the Pythagorean theorem. An answer is proposed based on the convexity and smoothness properties of the functional spaces purporting to provide ...
Kalogeropoulos, Nikolaos
core +2 more sources
Minimality of planes in normed spaces
, 2012 We prove that a region in a two-dimensional affine subspace of a normed space $V$ has the least 2-dimensional Hausdorff measure among all compact surfaces with the same boundary.
A.C. Thompson +12 more
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Dichotomies, structure, and concentration in normed spaces
, 2018 We use probabilistic, topological and combinatorial methods to establish the following deviation inequality: For any normed space $X=(\mathbb R^n ,\|\cdot\| )$ there exists an invertible linear map $T:\mathbb R^n \to \mathbb R^n$ with \[ \mathbb P\left( \
Paouris, Grigoris, Valettas, Petros
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Polyhedral Finsler spaces with locally unique geodesics
, 2013 We study Finsler PL spaces, that is simplicial complexes glued out of simplices cut off from some normed spaces. We are interested in the class of Finsler PL spaces featuring local uniqueness of geodesics (for complexes made of Euclidean simplices, this ...
Burago, Dmitri, Ivanov, Sergei
core +1 more source
, 2010 A holonomic space $(V,H,L)$ is a normed vector space, $V$, a subgroup, $H$, of $Aut(V, \|\cdot\|)$ and a group-norm, $L$, with a convexity property. We prove that with the metric $d_L(u,v)=\inf_{a\in H}\{\sqrt{L^2(a)+\|u-av\|^2}\}$, $V$ is a metric space
Solórzano, Pedro
core