Taghavi, A., Parvinianzadeh, R. (2015). Spectrum Preserving Linear Maps Between Banach Algebras. Caspian Journal of Mathematical Sciences, 4(2), 183-187.
A. Taghavi; R. Parvinianzadeh. "Spectrum Preserving Linear Maps Between Banach Algebras". Caspian Journal of Mathematical Sciences, 4, 2, 2015, 183-187.
Taghavi, A., Parvinianzadeh, R. (2015). 'Spectrum Preserving Linear Maps Between Banach Algebras', Caspian Journal of Mathematical Sciences, 4(2), pp. 183-187.
Taghavi, A., Parvinianzadeh, R. Spectrum Preserving Linear Maps Between Banach Algebras. Caspian Journal of Mathematical Sciences, 2015; 4(2): 183-187.
Spectrum Preserving Linear Maps Between Banach Algebras
1Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
2Department of Mathematics, Faculty of Basic Sciences, Yasouj University, P. O. Box 75918-74831, Yasouj, Iran.
Abstract
In this paper we show that if A is a unital Banach algebra and B is a purely in nite C*-algebra such that has a non-zero commutative maximal ideal and $\phi:A \rightarrow B$ is a unital surjective spectrum preserving linear map. Then $\phi$ is a Jordan homomorphism.
در این مقاله نشان می دهیم که اگر A جبر باناخ یکدار و B یک $C^*$-جبر نامتناهی محض و دارای ایده آل ماکسیمال جابه جایی ناصفر و ρ:A→B نگاشت خطی پوشا یکدار و نگهدارنده طیف باشد آنگاه ρ همریختی جردن است
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