If ${A}/{I}$ and $I$ , where $I$ is a closed ideal, have approximate identities then so does $A$.











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Let $A$ be a Banach algebra and $I$ a closed ideal in $A$. I want to prove that




If ${A}/{I}$ and $I$ have left approximate identities then $A$ has a left approximate identity




Any help will be greatly appreciated






banach-algebras







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    up vote
    0
    down vote

    favorite












    Let $A$ be a Banach algebra and $I$ a closed ideal in $A$. I want to prove that




    If ${A}/{I}$ and $I$ have left approximate identities then $A$ has a left approximate identity




    Any help will be greatly appreciated






    banach-algebras







    share|cite|improve this question


























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      Let $A$ be a Banach algebra and $I$ a closed ideal in $A$. I want to prove that




      If ${A}/{I}$ and $I$ have left approximate identities then $A$ has a left approximate identity




      Any help will be greatly appreciated






      banach-algebras







      share|cite|improve this question















      Let $A$ be a Banach algebra and $I$ a closed ideal in $A$. I want to prove that




      If ${A}/{I}$ and $I$ have left approximate identities then $A$ has a left approximate identity




      Any help will be greatly appreciated






      banach-algebras




      banach-algebras






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Nov 17 at 16:20









      David C. Ullrich

      57.3k43791




      57.3k43791










      asked Nov 17 at 12:24









      user62498

      1,889613




      1,889613



























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