Optimal normal projections in Krein spaces

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• 作者：Juan I. Giribet^a ; ^b ; ^{jgiribet@fi.uba.ar" class="auth_mail" title="E-mail the corresponding author} ; Alejandra Maestripieri^a ; ^b ; ^{amaestri@fi.uba.ar" class="auth_mail" title="E-mail the corresponding author} ; Francisco Martí ; nez Perí ; a^a ; ^c ; ^{francisco@mate.unlp.edu.ar" class="auth_mail" title="E-mail the corresponding author}
• 关键词：46C20 ; 47B50
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：490
• 期：Complete
• 页码：77-101
• 全文大小：432 K

文摘

Given a pseudo-regular subspace lsi1" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si1.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=ca9e6f7cb385e368eeaec26a3b68e5c8" title="Click to view the MathML source">Slass="mathContainer hidden">lass="mathCode">low="scroll">S of a Krein space lsi129" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si129.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=fb70efbe2c4cb621de7e9f32090ff95b" title="Click to view the MathML source">Hlass="mathContainer hidden">lass="mathCode">low="scroll">H with fundamental symmetry J  , if its isotropic part lsi158" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si158.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=74be955bf715c8322e88142625149b0b" title="Click to view the MathML source">S^∘lass="mathContainer hidden">lass="mathCode">low="scroll">S∘ is not trivial the set lsi16" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si16.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=40a9d41df11160a2efc09816543b6dca" title="Click to view the MathML source">Q_Slass="mathContainer hidden">lass="mathCode">low="scroll">QS of J  -normal projections onto lsi1" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si1.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=ca9e6f7cb385e368eeaec26a3b68e5c8" title="Click to view the MathML source">Slass="mathContainer hidden">lass="mathCode">low="scroll">S has infinitely many elements. The aim of this work is to distinguish a projection lsi5" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si5.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=3cb07b18c3c43448b23b54ec63cecd23" title="Click to view the MathML source">Q₀∈Q_Slass="mathContainer hidden">lass="mathCode">low="scroll">Q0∈QS according to a suitable criterion. When lsi129" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si129.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=fb70efbe2c4cb621de7e9f32090ff95b" title="Click to view the MathML source">Hlass="mathContainer hidden">lass="mathCode">low="scroll">H is finite-dimensional, lsi188" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si188.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=b9792ad2726dca5234fbe77e3d4374e8" title="Click to view the MathML source">Q₀lass="mathContainer hidden">lass="mathCode">low="scroll">Q0 turns out to be the unique minimal norm projection in lsi16" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si16.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=40a9d41df11160a2efc09816543b6dca" title="Click to view the MathML source">Q_Slass="mathContainer hidden">lass="mathCode">low="scroll">QS with respect to the Schatten p  -norm for lsi311" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515006102&_mathId=si311.gif&_user=111111111&_pii=S0024379515006102&_rdoc=1&_issn=00243795&md5=dd748cd6f5d991bc321ed61dbd689197" title="Click to view the MathML source">1≤p<∞lass="mathContainer hidden">lass="mathCode">low="scroll">1≤p<∞.