Geodesic
Regular and T-fredholm Elements in Banach Algebras
Publications de l'Institut Mathématique, _N_S_56 (1994) no. 70, p. 90

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Let $T:A\to B$ be an algebra homomorphism of a Banach algebra $A$ to an algebra $B$. An element $a\in A$ is $T$--Fredholm [2] if $T(A)\in B^{-1}$ and $a\in A$ is regular [3] provided there is an element $a'\in A$ such that $a=aa'a$. We investigate regular and $T$-Fredholm elements in Banach algebras. As a corollary, we get a well known result [5, Theorem 3].
Classification : 47A53 
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     author = {Dragan S. {\DJ}or{\dj}evi\'c},
     title = {Regular and {T-fredholm} {Elements} in {Banach} {Algebras}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {90 },
     publisher = {mathdoc},
     volume = {_N_S_56},
     number = {70},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1994_N_S_56_70_a11/}
}
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Dragan S. Đorđević. Regular and T-fredholm Elements in Banach Algebras. Publications de l'Institut Mathématique, _N_S_56 (1994) no. 70, p. 90 . http://geodesic.mathdoc.fr/item/PIM_1994_N_S_56_70_a11/