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φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras

Fractal and Fractional
In the theory of Banach algebras, we use the Schauder fixed-point theorem to obtain some results that concern the existence property for mild solutions of fractional Cauchy problems that involve the Lie bracket operator, the almost sectorial operator ...
Faten H. Damag, Amin Saif, Adem Kiliçman +2 more
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On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces

International Journal of Analysis and Applications, 2014
We define a particular space of bounded linear maps using a Von Neumann algebra and some operator spaces. By this, we prove some isomorphisms, and using interpolation in some particular cases, we get analogue of non-commutative Lp spaces.
E. J. Atto, V.S.K. Assiamoua, Y. Mensah
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Charged particle in Lie–Poisson electrodynamics

European Physical Journal C: Particles and Fields
Lie–Poisson electrodynamics describes the semi-classical limit of non-commutative U(1) gauge theory, characterized by Lie-algebra-type non-commutativity. We focus on the mechanics of a charged point-like particle moving in a given gauge background. First,
B. S. Basilio, V. G. Kupriyanov, M. A. Kurkov +2 more
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Factoring in Non-commutative Analytic Toeplitz Algebras