Characterizations of the Reflection Operators
An operator P is said to be reflective if P ∗ = P and P 2 = I . In this paper, we study the spectral properties of reflection operators and obtain a matrix representation of the reflection operator pair ( P , Q ). Some related properties of reflection operator pair ( P , Q ) are given.
Gespeichert in:
| Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2020-05, Vol.43 (3), p.2799-2816 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 2816 |
|---|---|
| container_issue | 3 |
| container_start_page | 2799 |
| container_title | Bulletin of the Malaysian Mathematical Sciences Society |
| container_volume | 43 |
| creator | Liang, Wenting Deng, Chunyuan |
| description | An operator
P
is said to be reflective if
P
∗
=
P
and
P
2
=
I
. In this paper, we study the spectral properties of reflection operators and obtain a matrix representation of the reflection operator pair (
P
,
Q
). Some related properties of reflection operator pair (
P
,
Q
) are given. |
| doi_str_mv | 10.1007/s40840-019-00838-1 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2393117430</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2393117430</sourcerecordid><originalsourceid>FETCH-LOGICAL-c298t-35912e47f4324f3ccea3e3eee5af1782ceffd293845de7ae208fef2937aafbda3</originalsourceid><addsrcrecordid>eNp9kE1LAzEQhoMoWGr_gKcFz9H5yG6yRyl-QaEgeg5xO7EttVuT7UF_vVtX8Na5DAzP-w48Sl0iXCOAvckGnAENWGsAx07jiRoROtCGoDpVI0CqdGWhPFeTnNfQT1lRRThSeroMKTSdpNV36FbtNhdtLLqlFM8SN9IcTsV8Jyl0bcoX6iyGTZbJ3x6r1_u7l-mjns0fnqa3M91Q7TrNZY0kxkbDZCI3jQQWFpEyRLSOGolxQTU7Uy7EBiFwUWJ_sCHEt0Xgsboaenep_dxL7vy63adt_9IT14xoDcNRimpjmRkPFA1Uk9qck0S_S6uPkL48gj_484M_3_vzv_489iEeQrmHt--S_quPpH4Aq3Nxtw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2294733310</pqid></control><display><type>article</type><title>Characterizations of the Reflection Operators</title><source>SpringerLink Journals - AutoHoldings</source><creator>Liang, Wenting ; Deng, Chunyuan</creator><creatorcontrib>Liang, Wenting ; Deng, Chunyuan</creatorcontrib><description>An operator
P
is said to be reflective if
P
∗
=
P
and
P
2
=
I
. In this paper, we study the spectral properties of reflection operators and obtain a matrix representation of the reflection operator pair (
P
,
Q
). Some related properties of reflection operator pair (
P
,
Q
) are given.</description><identifier>ISSN: 0126-6705</identifier><identifier>EISSN: 2180-4206</identifier><identifier>DOI: 10.1007/s40840-019-00838-1</identifier><language>eng</language><publisher>Singapore: Springer Singapore</publisher><subject>Applications of Mathematics ; Mathematics ; Mathematics and Statistics ; Matrix representation ; Operators ; Reflection</subject><ispartof>Bulletin of the Malaysian Mathematical Sciences Society, 2020-05, Vol.43 (3), p.2799-2816</ispartof><rights>Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2019</rights><rights>Bulletin of the Malaysian Mathematical Sciences Society is a copyright of Springer, (2019). All Rights Reserved.</rights><rights>Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2019.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c298t-35912e47f4324f3ccea3e3eee5af1782ceffd293845de7ae208fef2937aafbda3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40840-019-00838-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40840-019-00838-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Liang, Wenting</creatorcontrib><creatorcontrib>Deng, Chunyuan</creatorcontrib><title>Characterizations of the Reflection Operators</title><title>Bulletin of the Malaysian Mathematical Sciences Society</title><addtitle>Bull. Malays. Math. Sci. Soc</addtitle><description>An operator
P
is said to be reflective if
P
∗
=
P
and
P
2
=
I
. In this paper, we study the spectral properties of reflection operators and obtain a matrix representation of the reflection operator pair (
P
,
Q
). Some related properties of reflection operator pair (
P
,
Q
) are given.</description><subject>Applications of Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Matrix representation</subject><subject>Operators</subject><subject>Reflection</subject><issn>0126-6705</issn><issn>2180-4206</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWGr_gKcFz9H5yG6yRyl-QaEgeg5xO7EttVuT7UF_vVtX8Na5DAzP-w48Sl0iXCOAvckGnAENWGsAx07jiRoROtCGoDpVI0CqdGWhPFeTnNfQT1lRRThSeroMKTSdpNV36FbtNhdtLLqlFM8SN9IcTsV8Jyl0bcoX6iyGTZbJ3x6r1_u7l-mjns0fnqa3M91Q7TrNZY0kxkbDZCI3jQQWFpEyRLSOGolxQTU7Uy7EBiFwUWJ_sCHEt0Xgsboaenep_dxL7vy63adt_9IT14xoDcNRimpjmRkPFA1Uk9qck0S_S6uPkL48gj_484M_3_vzv_489iEeQrmHt--S_quPpH4Aq3Nxtw</recordid><startdate>20200501</startdate><enddate>20200501</enddate><creator>Liang, Wenting</creator><creator>Deng, Chunyuan</creator><general>Springer Singapore</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20200501</creationdate><title>Characterizations of the Reflection Operators</title><author>Liang, Wenting ; Deng, Chunyuan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c298t-35912e47f4324f3ccea3e3eee5af1782ceffd293845de7ae208fef2937aafbda3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Applications of Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Matrix representation</topic><topic>Operators</topic><topic>Reflection</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liang, Wenting</creatorcontrib><creatorcontrib>Deng, Chunyuan</creatorcontrib><collection>CrossRef</collection><jtitle>Bulletin of the Malaysian Mathematical Sciences Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liang, Wenting</au><au>Deng, Chunyuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Characterizations of the Reflection Operators</atitle><jtitle>Bulletin of the Malaysian Mathematical Sciences Society</jtitle><stitle>Bull. Malays. Math. Sci. Soc</stitle><date>2020-05-01</date><risdate>2020</risdate><volume>43</volume><issue>3</issue><spage>2799</spage><epage>2816</epage><pages>2799-2816</pages><issn>0126-6705</issn><eissn>2180-4206</eissn><abstract>An operator
P
is said to be reflective if
P
∗
=
P
and
P
2
=
I
. In this paper, we study the spectral properties of reflection operators and obtain a matrix representation of the reflection operator pair (
P
,
Q
). Some related properties of reflection operator pair (
P
,
Q
) are given.</abstract><cop>Singapore</cop><pub>Springer Singapore</pub><doi>10.1007/s40840-019-00838-1</doi><tpages>18</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0126-6705 |
| ispartof | Bulletin of the Malaysian Mathematical Sciences Society, 2020-05, Vol.43 (3), p.2799-2816 |
| issn | 0126-6705 2180-4206 |
| language | eng |
| recordid | cdi_proquest_journals_2393117430 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Applications of Mathematics Mathematics Mathematics and Statistics Matrix representation Operators Reflection |
| title | Characterizations of the Reflection Operators |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T11%3A31%3A54IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Characterizations%20of%20the%20Reflection%20Operators&rft.jtitle=Bulletin%20of%20the%20Malaysian%20Mathematical%20Sciences%20Society&rft.au=Liang,%20Wenting&rft.date=2020-05-01&rft.volume=43&rft.issue=3&rft.spage=2799&rft.epage=2816&rft.pages=2799-2816&rft.issn=0126-6705&rft.eissn=2180-4206&rft_id=info:doi/10.1007/s40840-019-00838-1&rft_dat=%3Cproquest_cross%3E2393117430%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2294733310&rft_id=info:pmid/&rfr_iscdi=true |