uniformly convex space
reflexive Banach space such that the center of a line segment inside the unit ball must lie deep inside the unit ball unless the segment is short
| rdfs:label |
"uniformly convex space"@en
|
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skos:alt |
"uniformly rotund space"@en
|
| schema:description |
"reflexive Banach space such that the center of a line segment inside the unit ball must lie deep inside the unit ball unless the segment is short"@en
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schema:date |
"2026-07-13T08:41:04+00:00"^^xsd:dateTime |
| schema:version | 2516980224 |
| wikibase:identifiers | 4 |
| wikibase:sitelinks | 7 |
| wikibase:statements | 9 |
| p:P10283 | wd:statement/Q847535-802480A8-3DE7-4AE0-AE81-F24F5343D423 |
| p:P2534 | wd:statement/Q847535-94b23ebe-4677-1af2-5fe3-f4155922cf1f |
| p:P279 | wd:statement/Q847535-093a6acd-46ba-387f-b72c-759a485d0d78 |
| wd:statement/Q847535-3a29caba-402f-fc1d-ba29-240e840a000e | |
| wd:statement/Q847535-608ae668-44fa-44b3-11ba-eb865f8f4768 | |
| p:P2812 | wd:statement/Q847535-BB77E5C6-6B07-4ED6-9318-4EAC762F96E8 |
| p:P6104 | wd:statement/Q847535-D1FAA323-D48E-4659-AFB3-E984E0740528 |
| p:P6366 | wd:statement/Q847535-64230652-AC5A-4D6D-BF5D-49016B3263FE |
| p:P646 | wd:statement/Q847535-A1A46B62-2CFA-46AA-BA3F-90C6EEA08CB5 |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C123413131" |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∀</mi><mn>0</mn><mo><</mo><mi>ϵ</mi><mo stretchy="false">≤</mo><mn>2</mn><mi mathvariant="normal">∃</mi><mi>δ</mi><mo>></mo><mn>0</mn><mi mathvariant="normal">∀</mi><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">∈</mo><mi>V</mi><mo stretchy="false">:</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">‖</mo><mi>x</mi><mo stretchy="false">‖</mo><mo stretchy="false">=</mo><mo stretchy="false">‖</mo><mi>y</mi><mo stretchy="false">‖</mo><mo stretchy="false">=</mo><mn>1</mn><mo stretchy="false">∧</mo><mo stretchy="false">‖</mo><mi>x</mi><mo stretchy="false">−</mo><mi>y</mi><mo stretchy="false">‖</mo><mo stretchy="false">≥</mo><mi>ϵ</mi><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo>⟹</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">‖</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo stretchy="false">+</mo><mi>y</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">‖</mo></mrow><mo stretchy="false">≤</mo><mn>1</mn><mo stretchy="false">−</mo><mi>δ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | Banach space |
| reflexive space | |
| strictly convex space | |
| wdt:P2812 | "UniformlyConvex" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "123413131" |
| wdt:P646 | "/m/027yxvv" |
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