Hermitian Banach algebra
= Hermitian Banach algebra
{c}
A Hermitian <Banach algebra> is a <Banach algebra> with an <algebra involution> for which every <Hermitian element of a star algebra> has real <spectrum of an element>. A <closed> unital <star-subalgebra> has <spectral permanence for Hermitian Banach algebras>. The assumption is weaker than being a <C-star algebra> and does not require the C-star <norm> identity.