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Banach star algebra

A Banach $* -algebra$ $A$ is a multiplicative involutive Banach space whose norm satisfies the following: $‖ a b ‖ \leq ‖ a ‖ ‖ b ‖$ for all $a, b \in A$ .

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$* -homomorphism$

A multiplicative, linear, $* -preserving$ map between Banach $* -algebras$ is called a $* -homomorphism$ .

$* -isomorphism$

A bijective $* -homomorphism$ is a $* -isomorphism$ .

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C star algebra
C star identity

Contents

Banach star algebra

Maps

∗-homomorphism

∗-isomorphism

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$* -homomorphism$

$* -isomorphism$