Banach Journal of Mathematical Analysis

Pseudoquotients on commutative Banach algebras

Dragu Atanasiu, Piotr Mikusiński, and Angela Siple

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We consider pseudoquotient extensions of positive linear functionals on a commutative Banach algebra $\mathcal{A}$ and give conditions under which the constructed space of pseudoquotients can be identified with all Radon measures on the structure space $\hat{\mathcal{A}}$.

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Banach J. Math. Anal., Volume 8, Number 2 (2014), 60-66.

First available in Project Euclid: 4 April 2014

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Zentralblatt MATH identifier

Primary: 46J05: General theory of commutative topological algebras
Secondary: 43A32: Other transforms and operators of Fourier type 43A35: Positive definite functions on groups, semigroups, etc. 28C05: Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures

Banach algebra structure space positive linear functional pseudoquotient Radon measure


Atanasiu, Dragu; Mikusiński, Piotr; Siple, Angela. Pseudoquotients on commutative Banach algebras. Banach J. Math. Anal. 8 (2014), no. 2, 60--66. doi:10.15352/bjma/1396640051.

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