Inclusion Theorems for the Moyal Multiplier Algebras of Generalized Gelfand–Shilov Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-021-02664-2
Abstract: We prove that the Moyal multiplier algebras of the generalized Gelfand-Shilov spaces of type $S$ contain Palamodov spaces of type $\mathcal E$ and the inclusion maps are continuous. We also give a direct proof that… read more here.
Keywords: moyal multiplier; multiplier algebras; gelfand shilov; generalized gelfand ... See more keywords
Universal enveloping algebras of generalized Poisson–Ore extensions
Sign Up to like & getrecommendations! Published in 2021 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj.2021.51.747
Abstract: The main goal of this paper is to study the Poisson universal enveloping algebra of a generalized Poisson–Ore extension. We prove such a Poisson universal enveloping algebra is a twisted tensor product. read more here.
Keywords: enveloping algebras; universal enveloping; poisson; generalized poisson ... See more keywords
Generalized metricn-Leibniz algebras and generalized orthogonal representationof metric Lie algebras
Sign Up to like & getrecommendations! Published in 2018 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-1803-61
Abstract: We introduce the notion of a generalized metric n-Leibniz algebra and show that there is a one-to-one correspondence between generalized metric n-Leibniz algebras and faithful generalized orthogonal representations of metric Lie algebras (called Lie triple… read more here.
Keywords: lie algebras; metric lie; leibniz algebras; generalized orthogonal ... See more keywords