Non-Archimedean normal operators

We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. Several examples are given.

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2010-02, Vol.51 (2), p.023526-023526-15
Main Author: Kochubei, Anatoly N.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Linear equations
Mathematical functions
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
Vector space
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c446t-fb9405414cdc4cd7572611eac858389310923f24d675e7e70a3a6524f2b491533
cites cdi_FETCH-LOGICAL-c446t-fb9405414cdc4cd7572611eac858389310923f24d675e7e70a3a6524f2b491533
container_end_page 023526-15
container_issue 2
container_start_page 023526
container_title Journal of mathematical physics
container_volume 51
creator Kochubei, Anatoly N.
description We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. Several examples are given.
doi_str_mv 10.1063/1.3293980
format article
fullrecord <record><control><sourceid>proquest_pasca</sourceid><recordid>TN_cdi_proquest_journals_215618720</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1982974031</sourcerecordid><originalsourceid>FETCH-LOGICAL-c446t-fb9405414cdc4cd7572611eac858389310923f24d675e7e70a3a6524f2b491533</originalsourceid><addsrcrecordid>eNp9kEtLAzEUhYMoWKsL_0ERXChMvTfv2QhSfEHRja5DmklwSjsZk6ngv3dKiwpSF-FuvvOFcwg5RRgjSHaFY0ZLVmrYIwMEXRZKCr1PBgCUFpRrfUiOcp4DIGrOB2T0FJviJrm3eukrb5tRE9PSLkax9cl2MeVjchDsIvuT7R2S17vbl8lDMX2-f5zcTAvHueyKMCs5CI7cVa5_SigqEb11WmimS4ZQUhYor6QSXnkFllkpKA90xksUjA3J2cbbpvi-8rkz87hKTf-loSgkakWhhy42kEsx5-SDaVO9tOnTIJh1f4Nm279nz7dCm51dhGQbV-fvAKUCxDoyJNcbLru6s10dm93SfizzayyzHqsXXO4SfMT0EzZtFf6D_1b4AlN1iAg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>215618720</pqid></control><display><type>article</type><title>Non-Archimedean normal operators</title><source>American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)</source><source>American Institute of Physics</source><creator>Kochubei, Anatoly N.</creator><creatorcontrib>Kochubei, Anatoly N.</creatorcontrib><description>We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. Several examples are given.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.3293980</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><publisher>Melville, NY: American Institute of Physics</publisher><subject>Exact sciences and technology ; Linear equations ; Mathematical functions ; Mathematical methods in physics ; Mathematics ; Physics ; Sciences and techniques of general use ; Vector space</subject><ispartof>Journal of mathematical physics, 2010-02, Vol.51 (2), p.023526-023526-15</ispartof><rights>American Institute of Physics</rights><rights>2010 American Institute of Physics</rights><rights>2015 INIST-CNRS</rights><rights>Copyright American Institute of Physics Feb 2010</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c446t-fb9405414cdc4cd7572611eac858389310923f24d675e7e70a3a6524f2b491533</citedby><cites>FETCH-LOGICAL-c446t-fb9405414cdc4cd7572611eac858389310923f24d675e7e70a3a6524f2b491533</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.3293980$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,776,778,780,791,27903,27904,76129</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=22505106$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Kochubei, Anatoly N.</creatorcontrib><title>Non-Archimedean normal operators</title><title>Journal of mathematical physics</title><description>We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. Several examples are given.</description><subject>Exact sciences and technology</subject><subject>Linear equations</subject><subject>Mathematical functions</subject><subject>Mathematical methods in physics</subject><subject>Mathematics</subject><subject>Physics</subject><subject>Sciences and techniques of general use</subject><subject>Vector space</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEUhYMoWKsL_0ERXChMvTfv2QhSfEHRja5DmklwSjsZk6ngv3dKiwpSF-FuvvOFcwg5RRgjSHaFY0ZLVmrYIwMEXRZKCr1PBgCUFpRrfUiOcp4DIGrOB2T0FJviJrm3eukrb5tRE9PSLkax9cl2MeVjchDsIvuT7R2S17vbl8lDMX2-f5zcTAvHueyKMCs5CI7cVa5_SigqEb11WmimS4ZQUhYor6QSXnkFllkpKA90xksUjA3J2cbbpvi-8rkz87hKTf-loSgkakWhhy42kEsx5-SDaVO9tOnTIJh1f4Nm279nz7dCm51dhGQbV-fvAKUCxDoyJNcbLru6s10dm93SfizzayyzHqsXXO4SfMT0EzZtFf6D_1b4AlN1iAg</recordid><startdate>20100201</startdate><enddate>20100201</enddate><creator>Kochubei, Anatoly N.</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope></search><sort><creationdate>20100201</creationdate><title>Non-Archimedean normal operators</title><author>Kochubei, Anatoly N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c446t-fb9405414cdc4cd7572611eac858389310923f24d675e7e70a3a6524f2b491533</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Exact sciences and technology</topic><topic>Linear equations</topic><topic>Mathematical functions</topic><topic>Mathematical methods in physics</topic><topic>Mathematics</topic><topic>Physics</topic><topic>Sciences and techniques of general use</topic><topic>Vector space</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kochubei, Anatoly N.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kochubei, Anatoly N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Non-Archimedean normal operators</atitle><jtitle>Journal of mathematical physics</jtitle><date>2010-02-01</date><risdate>2010</risdate><volume>51</volume><issue>2</issue><spage>023526</spage><epage>023526-15</epage><pages>023526-023526-15</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. Several examples are given.</abstract><cop>Melville, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.3293980</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0022-2488
ispartof Journal of mathematical physics, 2010-02, Vol.51 (2), p.023526-023526-15
issn 0022-2488
1089-7658
language eng
recordid cdi_proquest_journals_215618720
source American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list); American Institute of Physics
subjects Exact sciences and technology
Linear equations
Mathematical functions
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
Vector space
title Non-Archimedean normal operators
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-23T12%3A01%3A13IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pasca&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Non-Archimedean%20normal%20operators&rft.jtitle=Journal%20of%20mathematical%20physics&rft.au=Kochubei,%20Anatoly%20N.&rft.date=2010-02-01&rft.volume=51&rft.issue=2&rft.spage=023526&rft.epage=023526-15&rft.pages=023526-023526-15&rft.issn=0022-2488&rft.eissn=1089-7658&rft.coden=JMAPAQ&rft_id=info:doi/10.1063/1.3293980&rft_dat=%3Cproquest_pasca%3E1982974031%3C/proquest_pasca%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c446t-fb9405414cdc4cd7572611eac858389310923f24d675e7e70a3a6524f2b491533%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=215618720&rft_id=info:pmid/&rfr_iscdi=true