{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T00:56:10Z","timestamp":1773795370972,"version":"3.50.1"},"publisher-location":"Providence, Rhode Island","reference-count":8,"publisher":"American Mathematical Society","isbn-type":[{"value":"9781470448950","type":"print"},{"value":"9781470455248","type":"print"},{"value":"9781470455255","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"abstract":"<p>\n                    We characterise the Hermitian projections which are finite sums of box operators on Cartan factors of type I, II and III, that is, on the (matrix and) operator spaces\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper B left-parenthesis script upper H comma script upper K right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>B<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">H<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">K<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">B(\\mathcal {H}, \\mathcal {K})<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    of bounded linear operators from a complex Hilbert space\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"script upper H\">\n                        <mml:semantics>\n                          <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                            <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">H<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">\\mathcal {H}<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    to a complex Hilbert space\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"script upper K\">\n                        <mml:semantics>\n                          <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                            <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">K<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">\\mathcal {K}<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    ,\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper A left-parenthesis script upper H right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>A<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">H<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">A(\\mathcal {H})<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    of skew-symmetric operators on\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"script upper H\">\n                        <mml:semantics>\n                          <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                            <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">H<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">\\mathcal {H}<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    and\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper S left-parenthesis script upper H right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>S<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">H<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">S(\\mathcal {H})<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    of symmetric operators on\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"script upper H\">\n                        <mml:semantics>\n                          <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                            <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">H<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">\\mathcal {H}<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    .\n                  <\/p>","DOI":"10.1090\/conm\/737\/14861","type":"other","created":{"date-parts":[[2019,10,7]],"date-time":"2019-10-07T09:48:28Z","timestamp":1570441708000},"page":"107-117","source":"Crossref","is-referenced-by-count":0,"title":["When is a finite sum of box operators on a JB*-triple a Hermitian projection?"],"prefix":"10.1090","author":[{"given":"Dijana","family":"Ili\u0161evi\u0107","sequence":"first","affiliation":[]},{"given":"Lina","family":"Oliveira","sequence":"additional","affiliation":[]}],"member":"14","reference":[{"key":"1","series-title":"Cambridge Tracts in Mathematics","isbn-type":"print","volume-title":"Jordan structures in geometry and analysis","volume":"190","author":"Chu, Cho-Ho","year":"2012","ISBN":"https:\/\/id.crossref.org\/isbn\/9781107016170"},{"key":"2","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1016\/j.jalgebra.2018.07.013","article-title":"Tits-Kantor-Koecher Lie algebras of JB*-triples","volume":"512","author":"Chu, 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J.","ISSN":"https:\/\/id.crossref.org\/issn\/0012-7094","issn-type":"print"},{"key":"4","series-title":"Monographs and Studies in Mathematics","isbn-type":"print","volume-title":"Jordan operator algebras","volume":"21","author":"Hanche-Olsen, Harald","year":"1984","ISBN":"https:\/\/id.crossref.org\/isbn\/0273086197"},{"issue":"1","key":"5","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/j.laa.2006.05.009","article-title":"Bicircular projections on some Banach spaces","volume":"420","author":"Jamison, James E.","year":"2007","journal-title":"Linear Algebra Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0024-3795","issn-type":"print"},{"key":"6","unstructured":"O. Loos, Bounded symmetric domains and Jordan pairs, Mathematical Lectures, University of California, Irvine, 1977."},{"key":"7","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/j.laa.2003.11.014","article-title":"Bicircular projections on some matrix and operator spaces","volume":"384","author":"Stach\u00f3, L. L.","year":"2004","journal-title":"Linear Algebra Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0024-3795","issn-type":"print"},{"issue":"10","key":"8","doi-asserted-by":"publisher","first-page":"3019","DOI":"10.1090\/S0002-9939-04-07333-2","article-title":"Bicircular projections and characterization of Hilbert spaces","volume":"132","author":"Stach\u00f3, L\u00e1szl\u00f3 L.","year":"2004","journal-title":"Proc. Amer. Math. 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