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

edited Nov 17 at 16:20

David C. Ullrich

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asked Nov 17 at 12:24

user62498

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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

edited Nov 17 at 16:20

David C. Ullrich

57.3k43791

asked Nov 17 at 12:24

user62498

1,889613

add a comment |

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

edited Nov 17 at 16:20

David C. Ullrich

57.3k43791

asked Nov 17 at 12:24

user62498

1,889613

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

edited Nov 17 at 16:20

David C. Ullrich

57.3k43791

asked Nov 17 at 12:24

user62498

1,889613

edited Nov 17 at 16:20

David C. Ullrich

57.3k43791

asked Nov 17 at 12:24

user62498

1,889613

edited Nov 17 at 16:20

David C. Ullrich

57.3k43791

edited Nov 17 at 16:20

David C. Ullrich

57.3k43791

edited Nov 17 at 16:20

David C. Ullrich

57.3k43791

asked Nov 17 at 12:24

user62498

1,889613

asked Nov 17 at 12:24

user62498

1,889613

asked Nov 17 at 12:24

user62498

1,889613

add a comment |

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