On majorization and normality of operators

Radjabalipour, Mehdi

doi:10.1090/S0002-9939-1977-0430851-6

On majorization and normality of operators
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Proc. Amer. Math. Soc. 62 (1977), 105-110 Request permission

Abstract:

Recent results of C. R. Putnam are used to find some conditions for normality of operators. The emphasis is on the classes of spectral operators (defined by N. Dunford) and M-hyponormal operators (defined by J. G. Stampfli).

References

C. Apostol, R. G. Douglas, and C. Foiaş, Quasi-similar models for nilpotent operators, Trans. Amer. Math. Soc. 224 (1976), no. 2, 407–415. MR 425651, DOI 10.1090/S0002-9947-1976-0425651-0

Hyponormality

its analytic consequences

R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413–415. MR 203464, DOI 10.1090/S0002-9939-1966-0203464-1
C. K. Fong and M. Radjabalipour, On quasi-affine transforms of spectral operators, Michigan Math. J. 23 (1976), no. 2, 147–150. MR 410458
C. R. Putnam, Ranges of normal and subnormal operators, Michigan Math. J. 18 (1971), 33–36. MR 276810
C. R. Putnam, Hyponormal contractions and strong power convergence, Pacific J. Math. 57 (1975), no. 2, 531–538. MR 380493

Spectra and measure inequalities

M. Radjabalipour, Ranges of hyponormal operators, Illinois J. Math. 21 (1977), no. 1, 70–75. MR 448140
Joseph G. Stampfli and Bhushan L. Wadhwa, An asymmetric Putnam-Fuglede theorem for dominant operators, Indiana Univ. Math. J. 25 (1976), no. 4, 359–365. MR 410448, DOI 10.1512/iumj.1976.25.25031

On dominant operators

Bhushan L. Wadhwa, $M$-hyponormal operators, Duke Math. J. 41 (1974), 655–660. MR 346577