Ideal invariant injections

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• 作者：Marek Balcerzak ^{marek.balcerzak@p.lodz.pl" class="auth_mail" title="E-mail the corresponding author} ; Szymon Gła̧b¹ ; ^{szymon.glab@p.lodz.pl" class="auth_mail" title="E-mail the corresponding author} ; Jarosław Swaczyna ; ^{jswaczyna@wp.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Ideals on ω ; Ideal invariant injections ; Ideal convergence
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：445
• 期：1
• 页码：423-442
• 全文大小：470 K

文摘

For an ideal class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16303936&_mathId=si1.gif&_user=111111111&_pii=S0022247X16303936&_rdoc=1&_issn=0022247X&md5=221d83ba06581b9451e7390a5b2b8df8" title="Click to view the MathML source">Iclass="mathContainer hidden">class="mathCode">$\mathcal{I}$ on ω  , we introduce the notions of class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16303936&_mathId=si1.gif&_user=111111111&_pii=S0022247X16303936&_rdoc=1&_issn=0022247X&md5=221d83ba06581b9451e7390a5b2b8df8" title="Click to view the MathML source">Iclass="mathContainer hidden">class="mathCode">$\mathcal{I}$-invariant and bi-class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16303936&_mathId=si1.gif&_user=111111111&_pii=S0022247X16303936&_rdoc=1&_issn=0022247X&md5=221d83ba06581b9451e7390a5b2b8df8" title="Click to view the MathML source">Iclass="mathContainer hidden">class="mathCode">$\mathcal{I}$-invariant injections from ω to ω. We study injections that are invariant with respect to selected classes of ideals. We show some applications to ideal convergence.