Bohr and Rogosinski inequalities for operator valued holomorphic functions

Vasudevarao Allu, Himadri Halder, Subhadip Pal

For any complex Banach space $X$ and each $p\in [1,\infty )$, we introduce the $p$-Bohr radius of order $N(\in \mathbb{N})$ is ${\tilde{R}}_{p,N}(X)$ defined by $$ \widetilde{R}_…