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Rank-one perturbations of diagonal operators

✍ Scribed by Eugen J. Ionascu


Publisher
SP Birkhäuser Verlag Basel
Year
2001
Tongue
English
Weight
1002 KB
Volume
39
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES


Rank one operators and norm of elementar
✍ Ameur Seddik 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 141 KB

Let A be a standard operator algebra acting on a (real or complex) normed space E. For two n-tuples A = (A 1 , . . . , A n ) and B = (B 1 , . . . , B n ) of elements in A, we define the elementary operator R A,B on A by the relation R A,B (X) = n i=1 A i XB i for all X in A. For a single operator A