SIMC 2017

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http://hdl.handle.net/11071/10447

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Browsing SIMC 2017 by Subject "Banach algebras"

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    Polynomially compact bilinear endorphisms of finite type of Banach algebras
    (Strathmore University, 2017) Emenyu, John
    Kamowitz’s classical result on a compact endomorphism T of a commutative Ba- nach algebra A asserts that ∩T ∗n(Xr ) is finite where T ∗ is the adjoint of T and Xr),is the set of multiplicative linear functionals on A. This paper extends the underlying Kamowitz’s result to absolutely r-summing operators for 1 ™ r < ∞ or more generally polynomially compact endomorphisms as well as bilinear operators of finite type generated by Polynomially compact operators of a commutative Banach algebra. Keywords: Polynomial compactness; Endomorphism; Algebra; absolute summability; bilinear operators.