Template:Common Banach spaces

Glossary of symbols for the table below:
 * $$\mathbb{F}$$ denotes the field of real numbers $$\R$$ or complex numbers $$\Complex.$$
 * $$K$$ is a compact Hausdorff space.
 * $$p, q \in \R$$ are real numbers with $$1 < p, q < \infty$$ that are Hölder conjugates, meaning that they satisfy $$\frac{1}{q} + \frac{1}{p} = 1$$ and thus also $$q = \frac{p}{p-1}.$$
 * $$\Sigma$$ is a $\sigma$-algebra of sets.
 * $$\Xi$$ is an algebra of sets (for spaces only requiring finite additivity, such as the ba space).
 * $$\mu$$ is a measure with variation $$|\mu|.$$ A positive measure is a real-valued positive set function defined on a $$\sigma$$-algebra which is countably additive.