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Results tagged with polynomials
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user 89502
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
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Uniform limit of m-homogeneous polynomials over compact subsets of a Banach Space
We denote by $\mathcal{P}_a(^mE;F)$ the space of all $m-$homogeneous polynomials from $E$ into $F$, i.e, the mappings $P:E\longrightarrow F$ such that exists a multilinear symmetric $A:E^m \longrightarrow … It's easy to prove (1), and the first part of item (2) is a consequence of the Principle of Uniform Boundedness to homogeneous polynomials:
Theorem: A subset of $\mathcal{P}_a(^mE;F)$ is norm bounded if …
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