Category:Definitions/Bounded Linear Functionals
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This category contains definitions related to Bounded Linear Functionals.
Related results can be found in Category:Bounded Linear Functionals.
Let $\mathbb F$ be a subfield of $\C$.
Let $\struct {X, \norm \cdot}$ be a normed vector space over $\mathbb F$.
Let $f : X \to \mathbb F$ be a linear functional.
We say that $f$ is a bounded linear functional if and only if:
- there exists $C > 0$ such that $\cmod {\map f x} \le C \norm x$ for each $x \in X$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Definitions/Bounded Linear Functionals"
The following 3 pages are in this category, out of 3 total.