Construction of Multivector Inverse for Clifford Algebras Over $$2m+1$$2m+1-Dimensional Vector Spaces from Multivector Inverse for Clifford Algebras Over 2m-Dimensional Vector Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-019-0942-7
Abstract: Assuming known algebraic expressions for multivector inverses in any Clifford algebra over an even dimensional vector space $$\mathbb {R}^{p',q'}$$Rp′,q′, $$n'=p'+q'=2m$$n′=p′+q′=2m, we derive a closed algebraic expression for the multivector inverse over vector spaces one dimension… read more here.
Keywords: vector spaces; multivector inverse; clifford algebras; dimensional vector ... See more keywords
The Specht Property of L-Varieties of Vector Spaces
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DOI: 10.1007/s10469-017-9458-1
Abstract: Conditions are explored which imply the finite basis property for identities of vector spaces embedded in associative algebras over an infinite field. An L-variety having no finite basis of identities, which is the join of… read more here.
Keywords: vector spaces; property varieties; specht property; property ... See more keywords
Identities in Vector Spaces Embedded in Finite Associative Algebras
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DOI: 10.1007/s10958-017-3273-z
Abstract: We study identities in vector spaces embedded in finite associative linear algebras. We prove that the L-variety generated by the space of second order matrices over a finite field possesses finitely many L-subvarieties. We construct… read more here.
Keywords: finite associative; identities vector; vector spaces; embedded finite ... See more keywords
Topological concepts in partially ordered vector spaces
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DOI: 10.1007/s11117-021-00857-y
Abstract: In the context of partially ordered vector spaces one encounters different sorts of order convergence and order topologies. This article investigates these notions and their relations. In particular, we study and relate the order topology… read more here.
Keywords: order; vector spaces; topology; partially ordered ... See more keywords
Topological entropy for locally linearly compact vector spaces
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DOI: 10.1016/j.topol.2018.11.009
Abstract: Abstract By analogy with the topological entropy for continuous endomorphisms of totally disconnected locally compact groups, we introduce a notion of topological entropy for continuous endomorphisms of locally linearly compact vector spaces. We study the… read more here.
Keywords: topological entropy; linearly compact; compact vector; entropy ... See more keywords
An extension of Tychonoff’s fixed point theorem to pseudonorm adjoint topological vector spaces
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DOI: 10.1080/02331934.2020.1789639
Abstract: In this paper, we introduce a type of pseudonorms and quasi-pseudonorms on real vector spaces. By these concepts, we introduce the concept of pseudonorm adjoint topological vector spaces, which include locally convex topological vector spaces… read more here.
Keywords: vector; vector spaces; topological vector; pseudonorm adjoint ... See more keywords
On Nonnilpotent Almost Commutative L-Varieties of Vector Spaces
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DOI: 10.1134/s0037446618030084
Abstract: We study almost commutative L-varieties of vector spaces. We describe nonnilpotent almost commutative L-varieties generated by an associative algebra, which is considered as a vector space. read more here.
Keywords: vector spaces; nonnilpotent almost; almost commutative; varieties vector ... See more keywords
Conical geodesic bicombings on subsets of normed vector spaces
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DOI: 10.1515/advgeom-2018-0008
Abstract: Abstract We establish existence and uniqueness results for conical geodesic bicombings on subsets of normed vector spaces. Concerning existence, we give a first example of a convex geodesic bicombing that is not consistent. Furthermore, we… read more here.
Keywords: bicombings subsets; geodesic bicombings; vector spaces; subsets normed ... See more keywords
Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces
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DOI: 10.3390/axioms11050221
Abstract: We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector… read more here.
Keywords: differential calculus; vector bundles; dimensional vector; vector ... See more keywords
Numerical Reckoning Fixed Points of (ρE)-Type Mappings in Modular Vector Spaces
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DOI: 10.3390/math7050390
Abstract: In this paper, we study an iteration process introduced by Thakur et al. for Suzuki mappings in Banach spaces, in the new context of modular vector spaces. We establish existence results for a more recent… read more here.
Keywords: numerical reckoning; fixed points; modular vector; reckoning fixed ... See more keywords