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I'm looking for some references about calculus and integration on Banach spaces. In particular, I'm interested in some basic results about:

  1. Derivatives and differentiation of continuous functions $f:I \rightarrow X$, where $I$ is a open interval of $\mathbb{R}$ and $X$ is a Banach space on $\mathbb{R}$.
  2. Integration of functions $f:I \rightarrow X$.
  3. Complex differentiation of functions $f:\Omega \rightarrow X$, where $\Omega$ is an open subset of $\mathbb{C}$ and $X$ is a Banach space on $\mathbb{C}$ (simple results about holomorphic functions which takes values in a Banach space).

My background includes calculus and integration in $\mathbb{R}^n$, measure theory, basic complex analysis, and basic results about Banach spaces (Hahn-Banach theorem, open mapping theorem, closed graph theorem).

Could someone suggest me some book or lecture notes where I can briefly recover some information about the topics I listed?

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Chapter 1 on Riemann integration in these notes covers the integration of functions part of your question

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