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ibrfaws

Member
whay do we need th non-normal operators
or what are the applications of non-normal operators

non-normal operators =subnormal , hyponormal, quasinormal, normaloid,.....operators
please help me
Thanks
 


اخي هذا موضوع طويل يطول شرحه

راجع هذه الكتب

A Hilbert Space Problem Book, by Halmos

N. DUNFORD AND J. SCHWARTZ, Linear Operators I, II, III

Analysis of Non-normal Operators via Aluthge Transformation, by Fumihiko Kimura

D. Xia, Spectral Theory of Hyponormal Operators, Birkhiuser Verlag, Boston, 1983.


وهذه البحوث مفيدة كمان

I. C. GOHBERG AND M. G. KREIN, Introduction to the Theory of Linear Nonselfadjoint Operators
American Mathematical Society, Providence, RI, 1969

J.G. Stampfli, Hyponormal operators, Pacific J. Math., 12 (1962), 1453-1458.

J.G. Stampfli, Hyponormal operators and spectral density, Trans. Amer. Math. Soc.,

117 (1965), 469-476.

D. Xia, On the nonnormal operators-semihyponormal operators, Sci. Sininca, 23

(1980), 700-713.

 


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