The Calculus of One-Sided \(M\)-Ideals and Multipliers in Operator Spaces

The theory of one-sided \(M\)-ideals and multipliers of operator spaces is simultaneously a generalization of classical \(M\)-ideals, ideals in operator algebras, and aspects of the theory of Hilbert \(C^*\)-modules and their maps. Here we give a systematic exposition of this theory; a reference too...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2003-09
Main Authors: Blecher, David P, Zarikian, Vrej
Format: Article
Language:English
Subjects:
Mathematical analysis
Multipliers
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Blecher, David P
Zarikian, Vrej
description The theory of one-sided \(M\)-ideals and multipliers of operator spaces is simultaneously a generalization of classical \(M\)-ideals, ideals in operator algebras, and aspects of the theory of Hilbert \(C^*\)-modules and their maps. Here we give a systematic exposition of this theory; a reference tool for `noncommutative functional analysts' who may encounter a one-sided \(M\)-ideal or multiplier in their work.
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2091426362</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2091426362</sourcerecordid><originalsourceid>FETCH-proquest_journals_20914263623</originalsourceid><addsrcrecordid>eNqNykELgjAYgOERBEn5Hz7oUgfBvqnVWYo8iAc9CjLcJyljs839_zz0Azq9h_fZsAA5v0S3BHHHQuemOI4xu2Ka8oAVzZsgF6r3yjswA1SaonqUJKE9le05KiQJ5UBoCaVXyzirkayDUUM1kxWLsVDPoid3YNthlRT-umfH56PJX9FszceTW7rJeKvX1WF8vySY8Qz5f-oLoiw6wg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2091426362</pqid></control><display><type>article</type><title>The Calculus of One-Sided \(M\)-Ideals and Multipliers in Operator Spaces</title><source>Publicly Available Content Database</source><creator>Blecher, David P ; Zarikian, Vrej</creator><creatorcontrib>Blecher, David P ; Zarikian, Vrej</creatorcontrib><description>The theory of one-sided \(M\)-ideals and multipliers of operator spaces is simultaneously a generalization of classical \(M\)-ideals, ideals in operator algebras, and aspects of the theory of Hilbert \(C^*\)-modules and their maps. Here we give a systematic exposition of this theory; a reference tool for `noncommutative functional analysts' who may encounter a one-sided \(M\)-ideal or multiplier in their work.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Mathematical analysis ; Multipliers</subject><ispartof>arXiv.org, 2003-09</ispartof><rights>2003. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2091426362?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>777,781,25734,36993,44571</link.rule.ids></links><search><creatorcontrib>Blecher, David P</creatorcontrib><creatorcontrib>Zarikian, Vrej</creatorcontrib><title>The Calculus of One-Sided \(M\)-Ideals and Multipliers in Operator Spaces</title><title>arXiv.org</title><description>The theory of one-sided \(M\)-ideals and multipliers of operator spaces is simultaneously a generalization of classical \(M\)-ideals, ideals in operator algebras, and aspects of the theory of Hilbert \(C^*\)-modules and their maps. Here we give a systematic exposition of this theory; a reference tool for `noncommutative functional analysts' who may encounter a one-sided \(M\)-ideal or multiplier in their work.</description><subject>Mathematical analysis</subject><subject>Multipliers</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNykELgjAYgOERBEn5Hz7oUgfBvqnVWYo8iAc9CjLcJyljs839_zz0Azq9h_fZsAA5v0S3BHHHQuemOI4xu2Ka8oAVzZsgF6r3yjswA1SaonqUJKE9le05KiQJ5UBoCaVXyzirkayDUUM1kxWLsVDPoid3YNthlRT-umfH56PJX9FszceTW7rJeKvX1WF8vySY8Qz5f-oLoiw6wg</recordid><startdate>20030902</startdate><enddate>20030902</enddate><creator>Blecher, David P</creator><creator>Zarikian, Vrej</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20030902</creationdate><title>The Calculus of One-Sided \(M\)-Ideals and Multipliers in Operator Spaces</title><author>Blecher, David P ; Zarikian, Vrej</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20914263623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Mathematical analysis</topic><topic>Multipliers</topic><toplevel>online_resources</toplevel><creatorcontrib>Blecher, David P</creatorcontrib><creatorcontrib>Zarikian, Vrej</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Blecher, David P</au><au>Zarikian, Vrej</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>The Calculus of One-Sided \(M\)-Ideals and Multipliers in Operator Spaces</atitle><jtitle>arXiv.org</jtitle><date>2003-09-02</date><risdate>2003</risdate><eissn>2331-8422</eissn><abstract>The theory of one-sided \(M\)-ideals and multipliers of operator spaces is simultaneously a generalization of classical \(M\)-ideals, ideals in operator algebras, and aspects of the theory of Hilbert \(C^*\)-modules and their maps. Here we give a systematic exposition of this theory; a reference tool for `noncommutative functional analysts' who may encounter a one-sided \(M\)-ideal or multiplier in their work.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2003-09
issn 2331-8422
language eng
recordid cdi_proquest_journals_2091426362
source Publicly Available Content Database
subjects Mathematical analysis
Multipliers
title The Calculus of One-Sided \(M\)-Ideals and Multipliers in Operator Spaces
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T17%3A12%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=The%20Calculus%20of%20One-Sided%20%5C(M%5C)-Ideals%20and%20Multipliers%20in%20Operator%20Spaces&rft.jtitle=arXiv.org&rft.au=Blecher,%20David%20P&rft.date=2003-09-02&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2091426362%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_20914263623%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2091426362&rft_id=info:pmid/&rfr_iscdi=true