Are there any good books different from abstract harmonic analysis by hewitt to study $\frak{E}_p(I)$. where $\frak{E}_p(I)$ is: Let $I$ be an arbitrary index set. For each $i\in I$ let $H_i$ be a finite dimensional Hilbert space of dimension $d_i$, and let $a_i$ be a real number $\geq{1}$. The $\ast-algebra$ $\prod_{i\in{I}}\mathcal{B}(H_i)$, will denoted by $\frak{E}{(I)}$; scaler multiplication, addition, multiplication, and the adjoint of an element are defined coordinatewise.
Is there any good book different from abstract harmonic analysis by hewitt for studying $\frak{E}_p(I)$? Where $\frak{E}_p(I)$ is: Let $E=(E_i)_{i}$ be an element of $\frak{E}{(I)}.$ For $p\geq0$, we define $$\|E\|_{p}=\Big( \sum_{i=1}{a_i\|E_i\|}^{p}_{\varphi_p}\Big)^{1/p}$$ and $$\|E\|_{\infty}=\sup\{\|E_i\|_{\varphi_{\infty}},~i\in I\}.$$ Note that for $o\leq p<\infty$, $$\|E_i\|_{\varphi_p}=\Big(\sum_{j=1}^{n}{|s_{j}^{i}|}^p\Big)^{1/p}$$ and $$\|E_i\|_{\varphi_{\infty}}=sup\lbrace{s_{1}^{i},s_{2}^{i},...,s_{d_{i}}^{i}}\rbrace,$$ where $(s_{1}^{i},s_{2}^{i},...,s_{d_{i}}^{i})$ is the sequence of eigenvalues of operator $|E_{i}|$, written in any order. For $p\geq0$, $\frak{E}_p(I)$ is defined as the set of all $E\in\frak{E}(I)$ for which $\|E\|_{p}<\infty.$ Hewitt hewitt, has shown that for $1\leq p\leq\infty$, $\frak{E}_p(I)$ is a Banach algebra.
