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Matematična analiza
Bojan Magajna
Janko Gravner
Gorazd Lešnjak
其他書名
Posplošena odvajanja in sorodni operatorji. Del 4
出版
Inštitut za matematiko, fiziko in mehaniko
, 1985
URL
http://books.google.com.hk/books?id=POZttwAACAAJ&hl=&source=gbs_api
註釋
Several problems about operator equations, generalized derivations and related operators are considered. A criterion for the solvability of a system of bilinear operator equations is obtained and used to study the ranges of elementary operators. The spectra of elementary operators on the Calkin algebra and the essential numerical ranges of generalized derivations on the Hilbert-Schmidt class are determined. Further, subnormal and quasinormal generalized derivations on the Hilbert-Schmidt class are characterized and the spectrum of the operator $x\to ax + (ax)^\ast$ is computed.