Finite descent of a semi-Fredholm operator Announcing the arrival of Valued Associate #679:...

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Finite descent of a semi-Fredholm operator



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Question about Fredholm operatorFredholm index of invertible bounded operatorOperator is Fredholm if it is the sum of an Invertible and a Compact operatorDensity of Fredholm operatorsrelation between essential spectrum and spectrum of an operatorUpper semi Fredholm operator is closed mapIf $A$ is invertible and $F$ is Fredholm, when is $A+F$ also Fredholm?Is this a Fredholm operator with index 0?Fredholm operator of index 0Semi-Fredholm quasidiagonal operator has index zero












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Let $T$ be a bounded linear operators on a Banach space $X$.Let $K$ be a compact operator on $X$. $T$ and $K$ be commuting operators. If $T$ is lower semi-Fredholm and descent of $T$ is finite.



I want to prove that descent of $(T+K)$ is finite.










share|cite|improve this question









$endgroup$

















    1












    $begingroup$


    Let $T$ be a bounded linear operators on a Banach space $X$.Let $K$ be a compact operator on $X$. $T$ and $K$ be commuting operators. If $T$ is lower semi-Fredholm and descent of $T$ is finite.



    I want to prove that descent of $(T+K)$ is finite.










    share|cite|improve this question









    $endgroup$















      1












      1








      1





      $begingroup$


      Let $T$ be a bounded linear operators on a Banach space $X$.Let $K$ be a compact operator on $X$. $T$ and $K$ be commuting operators. If $T$ is lower semi-Fredholm and descent of $T$ is finite.



      I want to prove that descent of $(T+K)$ is finite.










      share|cite|improve this question









      $endgroup$




      Let $T$ be a bounded linear operators on a Banach space $X$.Let $K$ be a compact operator on $X$. $T$ and $K$ be commuting operators. If $T$ is lower semi-Fredholm and descent of $T$ is finite.



      I want to prove that descent of $(T+K)$ is finite.







      operator-theory






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jul 16 '17 at 6:59









      Manu RohillaManu Rohilla

      15419




      15419






















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