JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (10): 82-87.doi: 10.6040/j.issn.1671-9352.0.2018.134
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ZHANG Ying1, CAO Xiao-hong1*, DAI Lei2
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[1] | WEYL H V. Über beschränkte quadratische Formen, deren Differenz vollstetig ist[J]. Rendiconti Del Circolo Matematico Di Palermo, 1909, 27(1):373-392. |
[2] | BERBERIAN S K. An extension of Weyls theorem to a class of not necessarily normal operators[J]. Michigan Mathematical Journal, 1969, 16(3):273-279. |
[3] | LI Chunguang, ZHU Sen, FENG Youling. Weyls theorem for functions of operators and approximation[J]. Integral Equations and Operator Theory, 2010, 67(4):481-497. |
[4] | CURTO R E, HAN Y M. Weyls theorem for algebraically paranormal operators[J]. Integral Equations and Operator Theory, 2003, 47(3):307-341. |
[5] | AN I J, HAN Y M. Weyls theorem for algebraically quasi-class a operators[J]. Integral Equations and Operator Theory, 2008, 62(1):1-10. |
[6] | SHI Weijuan, CAO Xiaohong. Weyls theorem for the square of operator and perturbations[J]. Communications in Contemporary Mathematics, 2015, 17:1450042. |
[7] | COBURN L A. Weyls theorem for nonnormal operators[J]. Michigan Mathematical Journal, 1966, 13(3):285-288. |
[8] | DUGGAL B P. The Weyl spectrum of p-hyponormal operators[J]. Integral Equations and Operator Theory, 1997, 29(2):197-201. |
[9] | CAO Xiaohong. Analytically class operators and Weyls theorem[J]. Journal of Mathematical Analysis and Applications, 2006, 320(2):795-803. |
[10] | DUNFORD N. Spectral operator[J]. Pacific Journal of Mathematics, 1954, 4(3):321-354. |
[11] | FINCH J K. The single valued extension property on a Banach space[J]. Pacific Journal of Mathematics, 1975, 58(1):61-69. |
[12] | ZHU Sen, LI Chunguang. SVEP and compact perturbations[J]. Journal of Mathematical Analysis and Applications, 2011, 380(1):69-75. |
[13] | Aiena P, Peña P. Variantions on Weyls theorem[J]. Journal of Mathematical Analysis and Applications, 2006, 324(1):566-579. |
[14] | AMOUCH M. Weyl type theorem for operators satisfying the single-valued extention property[J]. Journal of Mathematical Analysis and Applications, 2007, 326(2):1476-1484. |
[15] | DUGGAL B P. Upper triangular operator matrices, SVEP and Browder, Weyl theorems[J]. Integral Equations and Operator Theory, 2009, 63(1):17-28. |
[16] | 江泽坚, 吴智泉, 纪友清. 实变函数论[M]. 3版. 北京: 高等教育出版社, 2007: 17-42. JIANG Zejian, WU Zhiquan, JI Youqing. Real variable function theory[M]. 3rd ed. Beijing: Higher Education Press, 2007: 17-42. |
[17] | TAYLOR A E. Theorems on ascent, descent, nullity and defect of linear operators[J]. Mathematische Annalen, 1996, 163(1):18-49. |
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[15] | . [J]. J4, 2009, 44(1): 53-58 . |
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