Shawket Kadhim, S. (2009). FUGLEDE – PUTNAM THEOREM FOR CLASS OPERATORS. , 1(2), 1-8.
Shaima Shawket Kadhim. "FUGLEDE – PUTNAM THEOREM FOR CLASS OPERATORS". , 1, 2, 2009, 1-8.
Shawket Kadhim, S. (2009). 'FUGLEDE – PUTNAM THEOREM FOR CLASS OPERATORS', , 1(2), pp. 1-8.
Shawket Kadhim, S. FUGLEDE – PUTNAM THEOREM FOR CLASS OPERATORS. , 2009; 1(2): 1-8.

FUGLEDE – PUTNAM THEOREM FOR CLASS OPERATORS

Journal of Al-Qadisiyah for Computer Science and Mathematics
Article 1, Volume 1, Issue 2, 2009, Pages 1-8    PDF (0 K)
Author
Shaima Shawket Kadhim
Abstract
We say that the operators A,B on a Hilbert space satisfy Fuglede – Putnam theorem if AX=XB for some X implies that . In this paper , the hypotheses on A and B can be relaxed by using a Hilbert-Schmidt operator X : Let A belong to class and let be invertible operator belong to class such that AX=XB for a Hilbert-Schmidt operator X ,then
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