Self-adjoint operator: Revision history

25 May 2024

• curprev 16:0616:06, 25 May 2024‎ 2a02:1812:110c:dc00:510f:18df:8a5e:6b34 talk‎ 48,708 bytes +22‎ No edit summary undo

16 April 2024

• curprev 17:5617:56, 16 April 2024‎ 139.64.171.94 talk‎ 48,686 bytes +3‎ No edit summary undo

8 February 2024

• curprev 10:2110:21, 8 February 2024‎ Citation bot talk contribs‎ 48,683 bytes +65‎ Add: s2cid, bibcode, pages. | Use this bot. Report bugs. | Suggested by Abductive | Category:Hilbert spaces | #UCB_Category 30/48 undo
• curprev 09:0509:05, 8 February 2024‎ Roffaduft talk contribs‎ m 48,618 bytes +350‎ added reference to subsection "pure point spectrum" undo

7 February 2024

• curprev 07:2107:21, 7 February 2024‎ Citation bot talk contribs‎ 48,268 bytes +120‎ Add: arxiv, page, bibcode, authors 1-1. Removed proxy/dead URL that duplicated identifier. Removed parameters. Some additions/deletions were parameter name changes. | Use this bot. Report bugs. | Suggested by Abductive | Category:Linear operators | #UCB_Category 24/40 undo

5 February 2024

• curprev 07:5907:59, 5 February 2024‎ Roffaduft talk contribs‎ m 48,148 bytes +117‎ →‎Spectrum of self-adjoint operators: cosmetic. emphasized the definition of "spectrum" as that's the topic of the subsection. undo

4 February 2024

• curprev 10:4010:40, 4 February 2024‎ Roffaduft talk contribs‎ m 48,031 bytes −111‎ removed dubious claim in the intro. "Hermitian undo
• curprev 10:0610:06, 4 February 2024‎ Roffaduft talk contribs‎ 48,142 bytes +530‎ clarified "if and only if" statement regarding realness of spectrum for SA operators. undo
• curprev 07:4207:42, 4 February 2024‎ Roffaduft talk contribs‎ 47,612 bytes −831‎ Removed redundant writing from the "proofs" in the "spectrum of SA operators" subsection. Did not fundamentally alter(/reference-check) the proof itself. undo
• curprev 06:1106:11, 4 February 2024‎ Roffaduft talk contribs‎ 48,443 bytes +218‎ moved a "bounded SA" property to the definition as its a property of all SA operators. undo
• curprev 05:4805:48, 4 February 2024‎ Roffaduft talk contribs‎ 48,225 bytes +512‎ added reference. started fixing the intro of subsection "spectrum of SA operators" undo

30 January 2024

• curprev 06:2606:26, 30 January 2024‎ Roffaduft talk contribs‎ m 47,713 bytes +17‎ →‎Properties: minor property fix; added reference undo

24 January 2024

• curprev 12:3712:37, 24 January 2024‎ Roffaduft talk contribs‎ m 47,696 bytes +226‎ →‎Bounded self-adjoint operators: added an alternative definition + reference undo

22 January 2024

• curprev 03:1603:16, 22 January 2024‎ OAbot talk contribs‎ m 47,470 bytes +25‎ Open access bot: arxiv updated in citation with #oabot. undo

20 January 2024

• curprev 06:0806:08, 20 January 2024‎ Roffaduft talk contribs‎ m 47,445 bytes +38‎ →‎Multiplication operator form of the spectral theorem: added clarification: spectral theorem holds for both bounded and unbouded SA operators undo

18 January 2024

• curprev 20:3620:36, 18 January 2024‎ Mazewaxie talk contribs‎ m 47,407 bytes 0‎ WP:GENFIXES undo Tag: AWB

17 January 2024

• curprev 08:0308:03, 17 January 2024‎ Roffaduft talk contribs‎ 47,407 bytes +282‎ fixed spectral theorem in line with source. Provided additional references for claims undo

16 January 2024

• curprev 09:2509:25, 16 January 2024‎ Roffaduft talk contribs‎ 47,125 bytes +725‎ mostly cosmetic. Clarified "unitarily equivalence" in line with source. Moved "resolvent set" to subsection "spectrum of SA operators", though the section could use more work; distinguishing bounded vs. unbounded and real vs. complex spectra undo

15 January 2024

• curprev 14:3214:32, 15 January 2024‎ Roffaduft talk contribs‎ 46,400 bytes −7,180‎ As it was very idiosyncratic, I've moved the subsection "SA extensions of Symmetric operators" to Extensions of symmetric operators and added a "see also" to it under the subsection "symmetric vs SA operators" undo
• curprev 10:2310:23, 15 January 2024‎ Roffaduft talk contribs‎ 53,580 bytes −415‎ General clean-up, mostly cosmetic. Fixed definitions in line with references. Added new sources undo

14 January 2024

• curprev 09:1609:16, 14 January 2024‎ Roffaduft talk contribs‎ 53,995 bytes −443‎ made a start with fixing symbol ambiguity, general errors, and the definition of spectral theorem in line with references as well as removing redundancies. Still a work in progress though. undo

13 January 2024

• curprev 08:2308:23, 13 January 2024‎ Roffaduft talk contribs‎ m 54,438 bytes +4‎ →‎Bounded self-adjoint operators: added wiki hyperlink to "bounded operators" undo

11 January 2024

• curprev 10:5010:50, 11 January 2024‎ Roffaduft talk contribs‎ 54,434 bytes −2,767‎ re-ordered the sections to better distinguish SA and symmetric operators. Removed duplicate/redundant parts. undo
• curprev 09:2709:27, 11 January 2024‎ Roffaduft talk contribs‎ 57,201 bytes −219‎ Clarified the definition and provided a sourced. Moved "essentially SA" to the top. Removed redundant example as it's an example of nothing and contains the same information as at the begin of "Spectral theorem". Citation needed for "hermitian operator" in intro undo
• curprev 07:5207:52, 11 January 2024‎ Roffaduft talk contribs‎ m 57,420 bytes +18‎ →‎Definitions: added wiki hyperlink to "dense" and "densely defined" undo

14 December 2023

• curprev 17:1117:11, 14 December 2023‎ 157.193.240.224 talk‎ 57,402 bytes +33‎ No edit summary undo

9 December 2023

• curprev 07:4407:44, 9 December 2023‎ Roffaduft talk contribs‎ m 57,369 bytes +83‎ →‎Pure point spectrum: clarification needed. Ambiguity between classical- and quantum mechanics due to choice of "example" undo

1 December 2023

• curprev 06:5806:58, 1 December 2023‎ Roffaduft talk contribs‎ 57,286 bytes +61‎ added wiki reference. Fixed the example so that it is in line with the referenced source undo

27 November 2023

• curprev 07:4007:40, 27 November 2023‎ Roffaduft talk contribs‎ m 57,225 bytes +4‎ →‎Pure point spectrum: added wiki link undo

26 November 2023

• curprev 06:3906:39, 26 November 2023‎ Roffaduft talk contribs‎ m 57,221 bytes +48‎ →‎Pure point spectrum: added a distinction undo

17 October 2023

• curprev 14:3514:35, 17 October 2023‎ Thatsme314 talk contribs‎ m 57,173 bytes −1‎ →‎Example: f(x) → x·f(x): ce undo
• curprev 14:3314:33, 17 October 2023‎ Thatsme314 talk contribs‎ m 57,174 bytes +6‎ →‎||(A−λ)x|| ≥ d(λ)⋅||x||: en dash undo

27 September 2023

• curprev 08:2308:23, 27 September 2023‎ 193.205.210.74 talk‎ 57,168 bytes 0‎ →‎References undo

9 September 2023

• curprev 14:3414:34, 9 September 2023‎ 24.185.55.166 talk‎ 57,168 bytes +6‎ corrected mathematical typo(s) in A - \lambda x : added missing parentheses to give (A-lambda)x. Alternative correction: Ax - \lambda x undo Tag: Visual edit

14 June 2023

• curprev 21:1421:14, 14 June 2023‎ Dr vulpes talk contribs‎ 57,162 bytes −9‎ →‎top: Reverting Spin edits as per Talk:Spin (particle physics) and Wikipedia talk:WikiProject Physics, replaced: Spin (particle physics) → Spin (physics) undo Tag: AWB

12 June 2023

• curprev 22:0422:04, 12 June 2023‎ Dr vulpes talk contribs‎ 57,171 bytes +2‎ WP:BOTREQ: minor clean up, replaced: spin (physics) → Spin (particle physics) undo Tag: AWB

23 April 2023

• curprev 07:1907:19, 23 April 2023‎ JJMC89 bot III talk contribs‎ m 57,169 bytes +1‎ Moving Category:Hilbert space to Category:Hilbert spaces per Wikipedia:Categories for discussion/Speedy undo

16 April 2023

• curprev 02:5402:54, 16 April 2023‎ 2601:240:4100:4c40:29c9:41a7:9738:98c2 talk‎ 57,168 bytes +4‎ [Minor edit] Removal of use of first person plural undo Tags: Visual edit Mobile edit Mobile web edit

8 March 2023

• curprev 19:3919:39, 8 March 2023‎ Citation bot talk contribs‎ 57,164 bytes +60‎ Alter: pages. Add: doi-access, bibcode, pmc, pmid, doi. Removed proxy/dead URL that duplicated identifier. Formatted dashes. | Use this bot. Report bugs. | Suggested by Headbomb | #UCB_toolbar undo

1 March 2023

• curprev 02:2202:22, 1 March 2023‎ Mgkrupa talk contribs‎ 57,104 bytes +30‎ added Category:Linear operators using HotCat undo

20 February 2023

• curprev 11:4811:48, 20 February 2023‎ Piqm talk contribs‎ 57,074 bytes +13‎ →‎Statement of the spectral theorem undo

16 February 2023

• curprev 16:4816:48, 16 February 2023‎ 185.234.165.56 talk‎ 57,061 bytes +1‎ →‎A is symmetric ⇔ ∀x ⟨Ax, x⟩ ∈ R: Correct a numerical factor in the formula undo Tags: Mobile edit Mobile web edit

17 November 2022

• curprev 22:1322:13, 17 November 2022‎ Epd101 talk contribs‎ m 57,060 bytes +4‎ →‎A simple example: Improved wording undo

9 November 2022

• curprev 01:5401:54, 9 November 2022‎ Deep Gabriel talk contribs‎ 57,056 bytes +37‎ Adding new see also. undo Tag: 2017 wikitext editor

2 November 2022

• curprev 23:2123:21, 2 November 2022‎ Mgkrupa talk contribs‎ m 57,019 bytes 0‎ →‎References undo

1 August 2022

• curprev 08:5808:58, 1 August 2022‎ Salix alba talk contribs‎ m 57,019 bytes +18‎ Fix deprecated maths syntax errors, see https://www.mediawiki.org/wiki/Extension:Math/Roadmap, replaced: \C → \Complex (3) undo Tag: AWB

23 July 2022

• curprev 11:5911:59, 23 July 2022‎ 1234qwer1234qwer4 talk contribs‎ m 57,001 bytes −28‎ why undo
• curprev 11:5611:56, 23 July 2022‎ 1234qwer1234qwer4 talk contribs‎ m 57,029 bytes +22‎ →‎Essential self-adjointness: linked further below but should be linked here too undo

29 June 2022

• curprev 07:5507:55, 29 June 2022‎ 150.254.77.57 talk‎ 57,007 bytes −6‎ →‎Bounded self-adjoint operators: Notation of scalar product unified undo

13 May 2022

• curprev 02:2102:21, 13 May 2022‎ LudovicoVan talk contribs‎ 57,013 bytes −6‎ Undid revision 1086923925 by Cactivist (talk) because it mangled the meaning of the sentence undo Tag: Undo