본문 바로가기
KERD
논문KCI 등재

On ampliation quasiaffine transforms of operators

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we study various connections of local spectral properties, invariant subspaces, and spectra when an operator $S$ in ${\mathcal{L}}({\mathcal{H}})$ is an ampliation quasiaffine transform of an operator $T$ in ${\mathcal{L}}({\mathcal{H}})$.

Abstract

In this paper, we study various connections of local spectral properties, invariant subspaces, and spectra when an operator $S$ in ${\mathcal{L}}({\mathcal{H}})$ is an ampliation quasiaffine transform of an operator $T$ in ${\mathcal{L}}({\mathcal{H}})$.

참고문헌 (21)

  1. P. Aiena, "Fredholm and local spectral theory, with applications to multipliers" (2004), Kluwer Academic Publishers
  2. E Albrecht, "Analytical Functional Models and Local Spectral Theory", Proceedings of the London Mathematical Society, 75(2), pp.323~348 (1997), Wiley[DOI]
  3. C. Apostol, "Quasiaffine transforms of operators", Michigan Math. J, 29(2), pp.243~255 (1982)[DOI]
  4. H. Bercovici, "Operator theory and arithmetic in H∞" (1988), American Mathematical Society
  5. S. Clary, "Equality of spectra of quasi-similar hyponormal operators", Proc. Amer. Math. Soc, 53(1), pp.88~90 (1975)[DOI]
  6. I. Colojoar˘a, "Theory of generalized spectral operators" (1968), Science Publishers
  7. R. G. Douglas, "On the operator equation S ∗XT = X and related topics", Acta Sci. Math. (Szeged), 30, pp.19~32 (1969)
  8. B. P. Duggal, "Quasi-similarp-hyponormal operators", Integral Equations and Operator Theory, 26(3), pp.338~345 (1996), Springer Science and Business Media LLC[DOI]
  9. Ciprian Foias, "On the hyperinvariant subspace problem", Journal of Functional Analysis, 219(1), pp.134~142 (2005), Elsevier BV[DOI]
  10. P. R. Halmos, "A Hilbert Space Problem Book" (1982), Springer-Verlag
  11. T. B. Hoover, "Quasi-similarity of operators", Illinois J. Math, 16, pp.678~686 (1972)
  12. Sungeun Jung, "On scalar extensions and spectral decompositions of complex symmetric operators", Journal of Mathematical Analysis and Applications, 384(2), pp.252~260 (2011), Elsevier BV[DOI]
  13. S. Jung, "On operators which are power similar to hyponormal operators", Osaka J. Math, 52(3), pp.833~847 (2015)[DOI]
  14. Il Bong Jung, "Aluthge transforms of operators", Integral Equations and Operator Theory, 37(4), pp.437~448 (2000), Springer Science and Business Media LLC[DOI]
  15. Il Bong Jung, "Spectral pictures of Aluthge transforms of operators", Integral Equations and Operator Theory, 40(1), pp.52~60 (2001), Springer Science and Business Media LLC[DOI]
  16. R. Lange, "New approaches in spectral decomposition" (1992), American Mathematical Society
  17. K. B. Laursen, "An introduction to local spectral theory, London Mathematical Society Monographs" (2000), The Clarendon Press, Oxford University Press
  18. B. S. Nagy, "Linear operators and approximation, II (Proc. Conf., Math. Res. Inst., Oberwolfach, 1974)", pp.29~37 (1974), Birkh¨auser
  19. H. Radjavi, "Invariant Subspaces" (1973), Springer-Verlag
  20. Joseph G. Stampfli, "A Local Spectral Theory for Operators. V: Spectral Subspaces for Hyponormal Operators", Transactions of the American Mathematical Society, 217, pp.285~296 (1976), JSTOR[DOI]
  21. D. Xia, "Spectral theory of hyponormal operators" (1983), Birkh¨auser Verlag

관련 논문AI추천

이 간행물의 다른 논문 (17건)