Orthonormal basis: Revision history

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curprev 07:0407:04, 1 September 2024 Roffaduft talk contribs 15,297 bytes +565 Changed the subsection "incomplete orthogonal sets" to "orthonormal system", extended the subsection and added a reference. Proving context using more common terminology undo

curprev 18:3418:34, 25 July 2024 Multiverse Guy talk contribs m 14,732 bytes +70 →Existence: Still requires a weaker version of choice (i.e. countable choice), since we are dealing with possibly infinite-dimensional spaces. undo

curprev 21:1321:13, 30 January 2024 Magidin talk contribs 14,220 bytes 0 →Basic formula: The inner product page has as default inner products linear in the first component, the mathematical standard. The formula assumed linearity in the second component (standard in physics, but incompatible with the inner product Wikipedia page). Returned formula to original pre-2021 version. undo

curprev 01:1101:11, 17 May 2023 Cngzz1 talk contribs m 14,266 bytes +357 Add references and add links undo

curprev 23:2323:23, 17 March 2023 Citation bot talk contribs 13,909 bytes −45 Misc citation tidying. | Use this bot. Report bugs. | Suggested by AManWithNoPlan | #UCB_CommandLine undo

curprev 13:0013:00, 18 March 2022 172.82.46.53 talk 9,987 bytes −11 →Examples: restating so that the example is the subject rather than the object of the sentence undo

curprev 14:4014:40, 24 January 2022 D.Lazard talk contribs 10,024 bytes +58 Adding local short description: "Specific linear basis (mathematics)", overriding Wikidata description "basis of a normed space consisting of mutually orthogonal elements of norm 1" (Shortdesc helper) undo
curprev 07:1607:16, 24 January 2022 BenKovitz talk contribs m 9,966 bytes 0 →Existence: punctuation undo
curprev 05:5705:57, 24 January 2022 Hellacioussatyr talk contribs 9,966 bytes +10 →Examples undo Tags: Mobile edit Mobile web edit Advanced mobile edit
curprev 05:5605:56, 24 January 2022 Hellacioussatyr talk contribs 9,956 bytes +1 No edit summary undo Tags: Mobile edit Mobile web edit Advanced mobile edit

curprev 18:5818:58, 15 December 2021 Mgkrupa talk contribs 9,955 bytes +99 Added link to == See also == section undo
curprev 18:4818:48, 15 December 2021 Mgkrupa talk contribs 9,856 bytes +17 Copy editing to make this article more compliant with MOS:MATH and Wikipedia:Manual of Style/Accessibility. No information was added, removed, or changed. undo

curprev 03:0103:01, 25 October 2021 Gsmith14 talk contribs m 9,839 bytes +225 Added an external link to a stack exchange post. I intend to pull out the pertinent details of the post and put them inside the article, but for now, linking to the post is a step in the right direction. undo

curprev 20:2020:20, 24 May 2021 Volker Weißmann talk contribs 9,614 bytes 0 Fixed scalar product order (important in the complex case) undo

curprev 19:2719:27, 16 May 2021 D.Lazard talk contribs 9,614 bytes −9 Reverted 1 edit by 180.87.254.210 (talk): Orthonormal basis is the standard name, not orthonormal sequence undo Tags: Twinkle Undo
curprev 15:5915:59, 16 May 2021 180.87.254.210 talk 9,623 bytes +9 →Existence: the former statement was wrong and is given in the reference, in theorem 3.40 undo Tag: Reverted

curprev 19:2619:26, 15 March 2021 Hellacioussatyr talk contribs 9,437 bytes +62 Boldfaced vector variables; wrapping; list unification; italics undo Tags: nowiki added Visual edit

curprev 07:5807:58, 29 January 2021 Svennik talk contribs 9,375 bytes +13 add orthonormal; gram-schmidt over Hilbert spaces suffices to show that every Hilbert space has an *orthonormal* basis undo
curprev 07:5807:58, 29 January 2021 Svennik talk contribs 9,362 bytes −26 removed "but not orthonormal base"; it is indeed the case that a straightforward generalisation of Gram-Schmidt can be used on a transfinite basis undo