PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 56(70), pp. 9094 (1994) 

Regular and $T$Fredholm elements in Banach algebrasDragan Djordjevi\'cFilozofski fakultet, Nis, YugoslaviaAbstract: 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 (MSC2000): 47A53 Full text of the article:
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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
