Category:Banach Spaces
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This category contains results about Banach Spaces.
Definitions specific to this category can be found in Definitions/Banach Spaces.
A Banach space is a normed vector space where every Cauchy sequence is convergent.
Subcategories
This category has the following 11 subcategories, out of 11 total.
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B
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Pages in category "Banach Spaces"
The following 26 pages are in this category, out of 26 total.
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C
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- Necessary and Sufficient Conditions for Continuous Linear Transformation Space to be Banach Space
- Net Convergence Equivalent to Absolute Convergence
- Non-Empty Bounded Above Subset of Banach Space with Archimedean Property has Supremum
- Norm Equivalence Preserves Completeness
- Normed Dual Space is Banach Space
S
- Space of Bounded Linear Transformations is Banach Space
- Space of Bounded Sequences with Supremum Norm forms Banach Space
- Space of Compact Linear Transformations is Banach Space
- Space of Continuous on Closed Interval Real-Valued Functions with Supremum Norm forms Banach Space
- Space of Continuously Differentiable on Closed Interval Real-Valued Functions with C^1 Norm is Banach Space
- Space of Zero-Limit Sequences with Supremum Norm forms Banach Space