Expressing infinite matrices over rings as products of involutions
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DOI: 10.1016/j.laa.2017.07.001
Abstract: Abstract Let K be an arbitrary field and R be an arbitrary associative ring with identity 1. Slowik in [12] proved that each matrix of ± UT ( ∞ , K ) (the group of… read more here.
Keywords: products involutions; infinite matrices; expressed product; rings products ... See more keywords
Products of Involutions of an Infinite-dimensional Vector Space
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DOI: 10.4153/s0008414x19000579
Abstract: We prove that every automorphism of an infinite-dimensional vector space over a field is the product of four involutions, a result that is optimal in the general case. We also characterize the automorphisms that are… read more here.
Keywords: dimensional vector; infinite dimensional; products involutions; vector space ... See more keywords