참고문헌
- T. Ando, Operators with a norm condition, Acta. Sci. Math(Szeged), 33(1972), 169- 178.
- Aluthge, On p-hyponormal operators for 0 < p < 1, Integr. Equat. Oper. Th., 13(1990), 307-315. https://doi.org/10.1007/BF01199886
- S. C. Arora and P. Arora, On p-quasihyponormal operators for 0 < p < 1, Yokohama. Math J., 41(1993), 25-29.
- P. Aiena and O. Monslave, Operators which do not have the single valued extension property, J. Math. Anal. Appl., 250(2000), 435-448. https://doi.org/10.1006/jmaa.2000.6966
- M. Berkani, Index of B-Fredholm operators and generalization of a Weyl theorem, Proc. Amer. Math. Soc., 130(2002), 1717-1723. https://doi.org/10.1090/S0002-9939-01-06291-8
- M. Berkani and A. Arroud, Generalized Weyl's theorem and Hyponormal operators, J. Austra. Math. Soc., 76(2004), 291-302. https://doi.org/10.1017/S144678870000896X
- M. Berkani, Index of B-Fredholm operators and poles of the resolvant, J. Math. Anal. Appl., 272(2002), 596-603. https://doi.org/10.1016/S0022-247X(02)00179-8
- M. Berkani and M. Sarih, An Atkinson type thorem for B-Fredholm operators, Studia. Math., 148(2001).
- S. K. Berberian, An extension of Weyl's theorem to a class of not necessarily normal, Michigan. Math. J., 16(1969), 273-279. https://doi.org/10.1307/mmj/1029000272
- S. K. Berberian, The Weyl spectrum of an operator, Indiana. Univ. Math. J., 20(1970), 529-544. https://doi.org/10.1512/iumj.1970.20.20044
- N. N. Chourasia and P. B. Ramanujan, Paranormal operators on Banach spaces, Bull. Austral. Math. Soc., 21(1980), 161-168. https://doi.org/10.1017/S0004972700005980
- L. A. Coburn, Weyl's theorem for nonnormal operators, Michigan Math. J., 13(1966), 285-288. https://doi.org/10.1307/mmj/1031732778
- R. E. Curto and A. T. Dash, Browder spectral systems, Proc. Amer. Math. Soc., 103(1988), 407-413. https://doi.org/10.1090/S0002-9939-1988-0943057-6
- R. E. Curto and Y. M. Han, Weyl's theorem for algebraically Paranormal operators, Journal integral equation operator theory, 47(2003), 307-314. https://doi.org/10.1007/s00020-002-1164-1
- S. L. Campell and B. C Gupta, On k-quasihyponormal operators, Math. Joponica, 23(1978), 185-189.
- M. Cho and K. Tanahachi, Isolated point of spectrum of p-hyponormal, log- hyponormal operators, preprint.
- S. V. Djordjevic and Y. M. Han, Browder's theorem and spectral continuity, Glasgow Math. J., 42(2000), 479-486. https://doi.org/10.1017/S0017089500030147
- B. P. Duggal and S. V. Djorjovic, Dunfort's Property (C) and Weyl's theorem, Integal equation and operator theory, 43(2002), 290-297. https://doi.org/10.1007/BF01255564
- B. P. Duggal and S. V. Djorjovic, Weyl's theorem in the class of algebraically p- hyponormal operators, Comment. Math. Prace Mat., 40(2000), 49-56.
- B. P. duggal, C. S. Kubrusly, and N. Levan, Paranormal contractions and invariant subspaces, J. Korean Math. Soc., 40(2003), 933-942. https://doi.org/10.4134/JKMS.2003.40.6.933
- J. K. Finch, The single valued extension property on a Banach space, Pacific J. Math., 58(1975), 61-69. https://doi.org/10.2140/pjm.1975.58.61
- C. K. Fong, Quasi-affine transforms of subnormal operators, Pacific J. Math., 70(1977), 361-368. https://doi.org/10.2140/pjm.1977.70.361
- M. Fujii, C. Himeji and A. Matsumoto, Theorems of Ando and Saito for p-hyponormal operators, Math. Japonica, 39(1994), 595-598.
- Y. M. Han and W. Y. Lee, Weyl's theorem holds for algebraically hyponormal operators, Proc. Amer. Math. Soc., 128(2000), 2291-2296. https://doi.org/10.1090/S0002-9939-00-05741-5
- R. E. Harte, Fredholm, Weyl and Browder theory, Proc. Royal Irish. Acad., 85A(1985), 151-176.
- R. E. Harte and R. E. Harte, Invertibility and singularity for bounded linear operators, Dekker, New York, 1988.
- R. E. Harte and W. Y. Lee, An other note of Weyl's theorem, Trans. Amer. Math. Soc., 349(1997), 2115-2124 https://doi.org/10.1090/S0002-9947-97-01881-3
- E. Heinz, Beitrage zur Strungstheorie der Spektralzerlegung, Math. Ann., 123(1951), 415-438. https://doi.org/10.1007/BF02054965
- T. Furuta, M. Ito and T. Yamazaki, A subclass of paranormal operators including class of log-hyponormal and severel related classes, Scientiae Mathematicae, 1(1998), 389-403.
- T. Furuta and M. Yanagida, On powers of p-hyponormal and log-hyponormal operators, Sci. Math., 2(1999), 279-284.
- J. J. Koliha, A generalized Drazin inverse, Glasgow Math. J., 38(1996), 367-381. https://doi.org/10.1017/S0017089500031803
- K. B. Laursen, Operators with finite ascent, Pacific J. Math., 152(1992), 323-336. https://doi.org/10.2140/pjm.1992.152.323
- K. B. Laursen and M. M. Neumann, An introduction to Local Spectral Theory, London Mathematical Society Monographs New series 20, Clarendon Press, Oxford, 2000.
- S. H. Lee and W. Y. Lee, A spectral mapping theorem for the Weyl spectrum, Glasgow Math. J., 38(1996), 61-64. https://doi.org/10.1017/S0017089500031268
- M. Y. Lee and S. H. Lee, An extension of the Fuglede-Putnam theorem to p- quasihyponormal operator, Bull. Korean Math. Soc., 35(1998), 319-324.
- M. Y. Lee, An extension of the Fuglede-Putnam theorem to (p, k)-quasihyponormal operator, Kyungpook Math. J., 44(2004), 593-596.
- M. Y. Lee and S. H. Lee, Some generalized theorems on p-quasihyponormal operators for 1 < p < 0, Nihonkai Math. J., 8(1997), 109-115.
- K. Lowner, Uber monotone Matrixfunktionen, Math. Z., 38(1934), 177-216. https://doi.org/10.1007/BF01170633
- D. C. Lay, Specral Analysis using ascent, descent, nullity and defect, Math. Ann., 184(1970), 197-214. https://doi.org/10.1007/BF01351564
- W. MLak, Hyponormal contractions, Coll. Math., 18(1967), 137-141. https://doi.org/10.4064/cm-18-1-137-142
-
C. A. Mc Carthy,
$C_{p}$ , Israel J. Math., 5(1967), 249-271. https://doi.org/10.1007/BF02771613 - V. Rakocevic, On the essential approximate point spectrum II, Math. Vesnik, 36(1984), 89-97.
- V. Rakocevic, Approximate point spectrum and commuting compact perturbations, Glasgow Math. J., 28(1986), 193-198. https://doi.org/10.1017/S0017089500006509
- S. Roch and B. Silbermann, Continuity of Generalized inverses in Banach Algebras, Studia. Math., 136(1999), 197-227.
- K. Tanahashi and A. Uchiyama, Isolated points of spectrum of p-quasihyponormal operators, Linear Algebra. Appl., 341(2002), 345-350. https://doi.org/10.1016/S0024-3795(01)00476-1
- K. Tanahashi, On log-hyponormal operators, Integral equations Operator Theory, 34(1999), 364-372. https://doi.org/10.1007/BF01300584
- K. Tanahashi, Putnam's inequality for log-hyponormal operators, Integral equations Operator Theory, to appear.
- K. Tanahashi, A. Uchiyama and Muneo Cho, Isolated points of spectrum of (p, k)- quasihyponormal operators, Linear Algebra Appl., 382(2004), 221-229. https://doi.org/10.1016/j.laa.2003.12.021
- A. Uchiyama, Inequalities of Purnam and BergerShaw for p-quasihyponormal operators, Integr. Equat. Oper. Th., 34(1999), 179-180.
- A. Uchiyama, An example of a p-quasihyponormal operators, Yokohama Math. J., 46(1999), 179-180.
- H. Weyl, Uber beschrankte quadratishe formen, deren Differenz vollsteig ist, Rend. Cir. Math. Palermo, 27(1909), 373-392. https://doi.org/10.1007/BF03019655
- D. Xia, Spectral theory of hyponormal operators, Birkhauser Verlag, Boston, 1983.