@Article{Aupetit2000, author="B. Aupetit", title="Spectrum-preserving linear mapping between Banach algebras or Jordan-Banach algebras", journal="J. London. Math. Soc.", year="2000", pages="917--924", volume="62" } @Book{Aupetit1991, author="B. Aupetit", title="A primer on spectral theory", year="1991", publisher="Springer", address="New York" } @Article{Aupetit1994, author="B. Aupetit, H. Du Toit Mouton", title="Spectrum preserving linear mapping in Banach algebras", journal="Studia Math.", year="1994", pages="91--100", volume="109" } @Article{Bresar1996, author="M. Bresar, P. Srmrl", title="Linear maps preserving the spectral radius", journal="J. Funct. Anal.", year="1996", pages="360--368", volume="142" } @Article{Choi1984, author="M. D. Choi, D. Hadwin, E. Nordgren, H. Radjavi, P. Rosenthal", title="On positive linear maps preserving invertibility", journal="J. Funct. Anal.", year="1984", pages="462--469", volume="59" } @Book{Herstein1969, author="I. N. Herstein", title="Topic in ring theory", year="1969", publisher="The University of Chicago Press", address="Chicago" } @Article{Jafarian1986, author="A. A. Jafarian, A. R. Sourour", title="Spectrum-preserving linear maps", journal="J. Funct. Anal.", year="1986", pages="255--266", volume="66" } @Article{Jianlian2004, author="C. Jianlian, H. Jinchuan", title="Linear maps between Banach algebras compressing spectral functions", journal="Roc. J. Math.", year="2004", pages="565--584", volume="34" } @Article{Kadison1951, author="R. V. Kadison", title="Isometries of operator algebras", journal="Annals of Math.", year="1951", pages="325--338", volume="54" } @Book{Kaplansky1970, author="I. Kaplansky", title="Algebraic and analytic aspects of operator algebras (Vol. 1)", year="1970", publisher="American Mathematical Soc.", address="Providence" } @Article{Mathieu2005, author="M. Mathieu", title="Towards a non-selfadjoint version of Kadison theorem, Annales Mathematicae et Information", journal="Annales Mathematicae et Information", year="2005", pages="87--94", volume="32" } @Article{Mathieu2004, author="M. Mathieu", title="Spectrally Bounded Operators on Simple C*-algebras", journal="Proc. Amer. Math. Soc.", year="2004", pages="443--446", volume="132" } @Article{Sourour1996, author="A. R. Sourour", title="Invertibility preserving linear maps on L(X)", journal="Trans. Amer. Math. Soc.", year="1996", pages="13--30", volume="348" } @Book{Zho1993, author="K. Zho", title="An Introduction to operator algebra", year="1993", publisher="CRC", address="New york" }