Maps preserving Fredholm or semi-Fredholm elements relative to some ideal
-
Mohadeseh Rostamani
mohadeseh.rostamani@gmail.com
-
Shirin Hejazian
hejazian@um.ac.ir
Downloads
DOI:
https://doi.org/10.4067/S0719-06462015000100003Abstract
We consider the Calkin algebra CR(A) and the Fredholm theory in a Banach algebra A, relative to some fixed ideal F of A. Our aim is to study linear maps between unital Banach algebras A and B which are surjective up to the inessential elements relative to F, and preserve Fredholm or semi-Fredholm elements in both directions or equivalently different relatively essential spectral sets such as essential spectrum, left or right essential spectrum, the boundary of essential spectrum or the full essential spectrum. We characterize such mappings when one of CR(A) or CR(B) is commutative and also investigate similar problems when A is assumed to be a unital C∗-algebra of real rank zero and B is an arbitrary Banach algebra.
Keywords
Most read articles by the same author(s)
- Sepide Hajighasemi, Shirin Hejazian, Surjective maps preserving the reduced minimum modulus of products , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
Similar Articles
- Essozimna Kpizim, Bertin Dehigbe, Ramkumar Kasinathan, Ravikumar Kasinathan, Mamadou Abdoul Diop, Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Gábor Czédli, Minimum-sized generating sets of the direct powers of free distributive lattices , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Baharak Moosavi, Mohsen Shah Hosseini, Some norm inequalities for accretive Hilbert space operators , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Sever Silvestru Dragomir, Eder Kikianty, Perturbed weighted trapezoid inequalities for convex functions with applications , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Abdoul Aziz Kalifa Dianda, Khalil Ezzinbi, Almost automorphic solutions for some nonautonomous evolution equations under the light of integrable dichotomy , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Shruti A. Kalloli, José Vanterler da C. Sousa, Kishor D. Kucche, On the \(\Phi\)-Hilfer iterative fractional differential equations , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Rubén A. Hidalgo, Una observación sencilla sobre vectores de constantes de Riemann y divisores no-especiales de curvas generalizadas de Fermat , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Rubí E. Rodríguez, Anita M. Rojas, Matías Saavedra-Lagos, Representaciones lineales irreducibles de grupos finitos en cuerpos de números , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Adrián Esparza-Amador, Parámetros especiales y deformaciones lineales de la familia \( (\wp(z))^2 + c \) , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Asa Ashley, Ferhan M. Atıcı, Samuel Chang, A note on constructing sine and cosine functions in discrete fractional calculus , CUBO, A Mathematical Journal: In Press
You may also start an advanced similarity search for this article.
