In Banach algebra $A$ if $a_nto a$ then $e^{a_n}to e^a$











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My question is as follows




let $(a_n)$ be a sequence in banach algebra $A$ and $a_nto a$ then prove or disprove $e^{a_n}to e^a$




Any help will be greatly appreciated






convergence banach-algebras







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  • @thanks you're right
    – user62498
    2 days ago















up vote
0
down vote

favorite












My question is as follows




let $(a_n)$ be a sequence in banach algebra $A$ and $a_nto a$ then prove or disprove $e^{a_n}to e^a$




Any help will be greatly appreciated






convergence banach-algebras







share|cite|improve this question
























  • @thanks you're right
    – user62498
    2 days ago













up vote
0
down vote

favorite









up vote
0
down vote

favorite











My question is as follows




let $(a_n)$ be a sequence in banach algebra $A$ and $a_nto a$ then prove or disprove $e^{a_n}to e^a$




Any help will be greatly appreciated






convergence banach-algebras







share|cite|improve this question















My question is as follows




let $(a_n)$ be a sequence in banach algebra $A$ and $a_nto a$ then prove or disprove $e^{a_n}to e^a$




Any help will be greatly appreciated






convergence banach-algebras




convergence banach-algebras






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 2 days ago

























asked 2 days ago









user62498

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1,882613












  • @thanks you're right
    – user62498
    2 days ago


















  • @thanks you're right
    – user62498
    2 days ago
















@thanks you're right
– user62498
2 days ago




@thanks you're right
– user62498
2 days ago















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