Common spectral properties of linear operators a and b such that ABA=A² and BAB=B²
نویسندگان
چکیده
منابع مشابه
Common Spectral Properties of Linear Operators a and B Such That Aba = a 2 and Bab = B 2
Let A and B be bounded linear operators on a Banach space such that ABA = A2 and BAB = B2. Then A and B have some spectral properties in common. This situation is studied in the present paper. 1. Terminology and motivation Throughout this paper X denotes a complex Banach space and L(X) the Banach algebra of all bounded linear operators on X. For A ∈ L(X), let N(A) denote the null space of A, an...
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ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2006
ISSN: 0350-1302
DOI: 10.2298/pim0693109s