Results 1 to 10 of about 10,935 (164)
, 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
Universal arrows to forgetful functors from categories of topological algebra [PDF]
, 1992 We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra.
Pestov, Vladimir G.
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
The symplectic origin of conformal and Minkowski superspaces [PDF]
, 2015 Supermanifolds provide a very natural ground to understand and handle supersymmetry from a geometric point of view; supersymmetry in $d=3,4,6$ and $10$ dimensions is also deeply related to the normed division algebras. In this paper we want to show the
C̆ap A. +9 more
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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
core +1 more source
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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Asymptotically Hilbertian Modular Banach Spaces: Examples of Uncountable Categoricity
, 2016 We give a criterion ensuring that the elementary class of a modular Banach space E (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrapower of E) consists of all direct sums E\oplus_m H, where H is an ...
Henson, C. Ward, Raynaud, Yves
core +1 more source
, 2017 This is a survey article of geometric properties of noncommutative symmetric spaces of measurable operators $E(\mathcal{M},\tau)$, where $\mathcal{M}$ is a semifinite von Neumann algebra with a faithful, normal, semifinite trace $\tau$, and $E$ is a ...
Czerwinska, Malgorzata Marta +1 more
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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