Banach-Space Operators Acting on Semicircular Elements Induced by Orthogonal Projections
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DOI: 10.1007/s11785-019-00951-w
Abstract: The main purposes of this paper are (i) to construct-and-study weighted-semicircular elements from mutually orthogonal $$\left| \mathbb {Z} \right| $$ -many projections, and the Banach $$*$$ -probability space $$\mathbb {L}_{Q}$$ generated by these operators, (ii)… read more here.
Keywords: operators acting; banach space; space; projections banach ... See more keywords
Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields Qp over Primes p
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DOI: 10.3390/math7020199
Abstract: In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space ( LS , τ 0 ) induced by measurable functions on p-adic number fields Q p over primes p… read more here.
Keywords: adic number; primes intervals; semicircular elements; number fields ... See more keywords
Banach *-algebras generated by semicircular elements induced by certain orthogonal projections
Sign Up to like & getrecommendations! Published in 2018 at "Opuscula Mathematica"
DOI: 10.7494/opmath.2018.38.4.501
Abstract: The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements are induced by orthogonal projections… read more here.
Keywords: elements induced; algebras generated; banach algebras; generated semicircular ... See more keywords