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A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
p -Banach algebras with generalized involution and C*-algebra structure
p-Banach algebras generalized involution involutive anti-morphism C*-algebra
2010/3/1
In this paper, we consider p-Banach algebras endowed with a generalized involution. We show that various C*-like conditions force the algebra to be C*-algebra under an equivalent norm.