Spectral theorem: Revision history

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curprev 02:5902:59, 18 May 2024‎ 107.122.85.53 talk‎ 25,101 bytes +253‎ fixed numerous minor math typesetting errors undo

curprev 06:5006:50, 10 May 2024‎ David Eppstein talk contribs‎ 24,848 bytes −34‎ →‎Multiplication operator version: simplify broken link undo

curprev 14:5914:59, 26 April 2024‎ 92.85.80.120 talk‎ 24,882 bytes −988‎ →‎Hermitian maps and Hermitian matrices: Removed a lot of mistaken mathematics. undo

curprev 05:3105:31, 16 March 2024‎ Roffaduft talk contribs‎ 25,870 bytes +79‎ Cosmetic: removed capitalization, added wiki hyperlinks, removed redundancies. Fixed minor error in SVD subsection, in line with SVD main wiki article undo

curprev 16:1516:15, 15 March 2024‎ Roffaduft talk contribs‎ 25,791 bytes −26‎ Undid revision 1213831902 by 2001:6B0:17:FC17:209E:BD88:302C:DF24 (talk) Please add source undo Tag: Undo
curprev 11:2611:26, 15 March 2024‎ 2001:6b0:17:fc17:209e:bd88:302c:df24 talk‎ 25,817 bytes +26‎ →‎Spectral decomposition and the Singular value decomposition undo Tag: Reverted

curprev 05:4505:45, 4 March 2024‎ Mebigrouxboy talk contribs‎ 25,791 bytes +1‎ Typo undo

curprev 21:5121:51, 18 February 2024‎ 76.117.237.194 talk‎ 25,790 bytes +1‎ Fix typo in heading undo
curprev 06:0306:03, 18 February 2024‎ Roffaduft talk contribs‎ m 25,789 bytes +14‎ →‎Unbounded self-adjoint operators: added wiki hyperlink undo

curprev 21:1521:15, 10 February 2024‎ Magikarp23 talk contribs‎ m 25,775 bytes −11‎ →‎Hermitian implies square matrix, removes redundancy undo

curprev 10:1710:17, 24 January 2024‎ Roffaduft talk contribs‎ m 24,478 bytes +21‎ →‎Compact self-adjoint operators: fixed wiki hyperlink undo
curprev 08:5708:57, 24 January 2024‎ Roffaduft talk contribs‎ m 24,457 bytes +1‎ →‎Spectral subspaces and projection-valued measures: purely cosmetic, to avoid symbol confusion. undo
curprev 08:5108:51, 24 January 2024‎ Roffaduft talk contribs‎ 24,456 bytes +530‎ fixed error in the definition, in line with source. Made a better distinction between (generalized) eigenvectors and eigenvalues for (un)boudend SA operators undo

curprev 04:4704:47, 21 January 2024‎ Roffaduft talk contribs‎ m 23,926 bytes −14‎ →‎Unbounded self-adjoint operators: minor grammatical fix undo

curprev 11:5611:56, 20 January 2024‎ Roffaduft talk contribs‎ m 23,940 bytes +818‎ Changed subsection title "general SA operator" to "Unbounded SA operator" and included the notion of "generalized eigenvectors" to the subsection + reference. undo

curprev 06:2106:21, 17 December 2023‎ Citation bot talk contribs‎ 23,122 bytes +31‎ Add: bibcode. | Use this bot. Report bugs. | Suggested by Whoop whoop pull up | Category:Linear algebra | #UCB_Category 21/287 undo

curprev 23:0623:06, 6 December 2023‎ 2a02:1812:110c:dc00:4460:3cb2:f1db:1ee talk‎ 23,091 bytes +12‎ No edit summary undo

curprev 10:0610:06, 16 October 2023‎ Dexxor talk contribs‎ m 23,079 bytes −28‎ →‎Compact self-adjoint operators: linkfix undo

curprev 16:4916:49, 14 October 2023‎ 65.183.138.55 talk‎ 23,107 bytes +427‎ →‎Compact self-adjoint operators undo

curprev 00:1600:16, 30 September 2023‎ 2601:200:c082:2ea0:1150:9bcd:9268:fc talk‎ 22,680 bytes +25‎ →‎Hermitian maps and Hermitian matrices: can be identified with —> is equal to undo

curprev 08:2108:21, 27 September 2023‎ 193.205.210.74 talk‎ 22,655 bytes 0‎ →‎References undo

curprev 01:2801:28, 27 August 2023‎ 2601:200:c082:2ea0:bc52:4192:d423:7e4c talk‎ 22,655 bytes +13‎ →‎Finite-dimensional case undo

curprev 00:1600:16, 1 August 2023‎ 103.90.35.214 talk‎ 22,642 bytes −2‎ Undid revision 1168128288 by 103.90.35.214 (talk) undo Tag: Undo
curprev 00:1500:15, 1 August 2023‎ 103.90.35.214 talk‎ 22,644 bytes +2‎ →‎See also undo Tag: Reverted

curprev 15:2315:23, 22 July 2023‎ Hellacioussatyr talk contribs‎ 22,642 bytes +34‎ →‎Bounded self-adjoint operators undo Tags: Mobile edit Mobile web edit Advanced mobile edit
curprev 15:1815:18, 22 July 2023‎ Hellacioussatyr talk contribs‎ 22,608 bytes +129‎ →‎Finite-dimensional case: rm :-indents (MOS:INDENT); {{math theorem}} undo Tags: Mobile edit Mobile web edit Advanced mobile edit

curprev 13:5513:55, 29 November 2022‎ 150.254.77.57 talk‎ 22,479 bytes −9‎ →‎Multiplication operator version undo

curprev 12:0212:02, 17 November 2022‎ 67.86.129.140 talk‎ 22,488 bytes +18‎ →‎Hermitian maps and Hermitian matrices undo

curprev 22:5722:57, 2 November 2022‎ Mgkrupa talk contribs‎ m 22,470 bytes −1‎ →‎References undo

curprev 20:4120:41, 18 March 2022‎ Chaoticgoodburger talk contribs‎ m 22,471 bytes −434‎ Re-removed statement that U=V for SVD of normal matrices. This statement is indeed false. Note that Normal matrices are unitarily diagonalizable, but not necessarily orthogonally diagonalizable. As a counterexample take the sample normal matrix on that page where U does not equal V, diagonalizing that matrix requires complex eigenvectors while U and V are strictly real and orthogonal. Mandating that U=V is equivalent to A being Hermitian which much more specific than A being normal. undo Tag: Manual revert
curprev 05:5005:50, 18 March 2022‎ Jean Raimbault talk contribs‎ 22,905 bytes +434‎ Undid revision 1077745741 by 2601:19B:700:CEF0:31A2:C7E5:2CC1:16FB (talk) the removed paragraph says nothing about eigenvalues of A itself undo Tags: Undo Reverted
curprev 00:3300:33, 18 March 2022‎ 2601:19b:700:cef0:31a2:c7e5:2cc1:16fb talk‎ 22,471 bytes −434‎ →‎Normal matrices: Removed a false statement — purely skew-symmetric matrices are normal though with complex eigenvalues, hence making the singular values and eigenvalues not equivalent. undo Tag: Reverted

curprev 18:4518:45, 9 February 2022‎ Qwerfjkl (bot) talk contribs‎ m 22,905 bytes 0‎ Capitalising short description "result about when a matrix can be diagonalized" per WP:SDFORMAT (via Bandersnatch) undo

curprev 02:1402:14, 30 January 2022‎ Hellacioussatyr talk contribs‎ 22,905 bytes +44‎ →‎Direct integrals undo Tags: Mobile edit Mobile web edit Advanced mobile edit
curprev 02:1102:11, 30 January 2022‎ Hellacioussatyr talk contribs‎ 22,861 bytes +61‎ →‎Multiplication operator version undo Tags: Mobile edit Mobile web edit Advanced mobile edit

curprev 21:0521:05, 28 January 2022‎ Xinxtang talk contribs‎ 22,800 bytes +434‎ →‎Normal matrices undo Tag: Visual edit

curprev 05:4405:44, 23 November 2021‎ LucasBrown talk contribs‎ m 22,366 bytes +25‎ if-then undo

curprev 03:1903:19, 10 September 2021‎ Sepiabrown talk contribs‎ 22,341 bytes −61‎ Made it clear the difference between spectral decompositon and eigendecompositon. undo
curprev 01:0101:01, 10 September 2021‎ Sepiabrown talk contribs‎ 22,402 bytes −3‎ AFAIK, Augustin-Louis Cauchy proved the spectral theorem for symmetric matrices, not self-adjoint matrices undo

curprev 23:0323:03, 14 August 2021‎ 1234qwer1234qwer4 talk contribs‎ m 22,405 bytes −2‎ Added links, no need for bolding though undo Tags: Mobile edit Mobile app edit iOS app edit

curprev 14:5614:56, 2 August 2021‎ D.Lazard talk contribs‎ 22,407 bytes +15‎ →‎See also: annotated link undo
curprev 14:0314:03, 2 August 2021‎ Nsoum talk contribs‎ 22,392 bytes +29‎ →‎See also undo

curprev 12:3412:34, 31 July 2021‎ Krb19 talk contribs‎ 22,363 bytes +204‎ →‎Possible absence of eigenvectors undo Tag: Visual edit

curprev 00:5700:57, 22 July 2021‎ Fgnievinski talk contribs‎ 22,159 bytes +32‎ →‎See also undo

Spectral theorem: Revision history

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