Algebraic spectral subspaces and automatic continuity

Kjeld Bagger Laursen

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 1, page 157-172
  • ISSN: 0011-4642

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Laursen, Kjeld Bagger. "Algebraic spectral subspaces and automatic continuity." Czechoslovak Mathematical Journal 38.1 (1988): 157-172. <http://eudml.org/doc/13689>.

@article{Laursen1988,
author = {Laursen, Kjeld Bagger},
journal = {Czechoslovak Mathematical Journal},
keywords = {algebraic spectral subspaces; super-decomposable operator; spectral maximal subspaces; well-decomposable operators; automatic continuity},
language = {eng},
number = {1},
pages = {157-172},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Algebraic spectral subspaces and automatic continuity},
url = {http://eudml.org/doc/13689},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Laursen, Kjeld Bagger
TI - Algebraic spectral subspaces and automatic continuity
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 1
SP - 157
EP - 172
LA - eng
KW - algebraic spectral subspaces; super-decomposable operator; spectral maximal subspaces; well-decomposable operators; automatic continuity
UR - http://eudml.org/doc/13689
ER -

References

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  1. E. Albrecht J. Eschmeier M. M. Neumann, Some topics in the theory of decomposable operators, Advances and Applications 17 (1986), 15-34. (1986) MR0901056
  2. E. Albrecht M. M. Neumann, 10.1007/BFb0064569, in Radical Banach Algebras and automatic continuity, Springer Lecture Notes 975 (1983), 342-355. (1983) MR0697600DOI10.1007/BFb0064569
  3. W. G. Bade P. C. Curtis, Jr., 10.1016/0022-1236(74)90056-1, J. Functional Analysis 16 (1974), 372-387. (1974) MR0358354DOI10.1016/0022-1236(74)90056-1
  4. W. G. Bade P. C. Curtis, Jr., 10.1016/0022-1236(78)90048-4, J. Functional Analysis 29 (1978), 88-103. (1978) MR0499936DOI10.1016/0022-1236(78)90048-4
  5. W. G. Bade P. C. Curtis, Jr., 10.1090/conm/032/769498, Contemporary Mathematics 32 (1984), 71-81. (1984) MR0769498DOI10.1090/conm/032/769498
  6. W. G. Bade H. G. Dales, 10.1016/0022-1236(81)90062-8, J. Functional Analysis 41 (1981), 77-109. (1981) MR0614227DOI10.1016/0022-1236(81)90062-8
  7. I. Colojoara С. Foias, Theory of generalized spectral operators, Gordon and Breach, New York, 1968. (1968) MR0394282
  8. С. Foias F. H. Vasilescu, Non-analytic local functional calculus, Czechoslovak Math. J. 24 (99) (1974), 270-283. (1974) MR0372678
  9. N. P. Jewell, Continuity of module and higher derivations, Рас. J. Math. 68 (1977), 91-98. (1977) Zbl0349.46045MR0493341
  10. B. E. Johnson, Continuity of homomorphisms of Banach G -modules, Рас. J. Math. 120 (1985), 111-121. (1985) Zbl0582.22004MR0808931
  11. B. E. Johnson A. M. Sinclair, 10.1090/S0002-9947-1969-0251564-X, Trans. Amer. Math. Soc. 146 (1969), 533-540. (1969) MR0251564DOI10.1090/S0002-9947-1969-0251564-X
  12. K. B. Laursen, 10.1007/BFb0080027, in Spaces of analytic functions, Springer Lecture Notes 512 (1976), 96-108. (1976) Zbl0327.46030MR0500203DOI10.1007/BFb0080027
  13. K. B. Laursen, Automatic continuity of generalized intertwining operators, Dissert. Math. 189 (1981). (1981) Zbl0469.46037MR0621374
  14. K. B. Laursen M. M. Neumann, Decomposable operators and automatic continuity, J. Operator Theory 15 (1986), 33-51. (1986) MR0816233
  15. V. Pták P. Vrbová, On the spectral function of a normal operator, Czechoslovak Math. J. 23 (98) (1973), 615-616. (1973) MR0336421
  16. A. M. Sinclair, Automatic continuity of linear operators, London Math. Soc. Lecture Notes 21 (1976). (1976) Zbl0313.47029MR0487371
  17. F. H. Vasilescu, Analytic Functional Calculus, D. Reidel, Dordrecht, 1982. (1982) Zbl0495.47013
  18. P. Vrbová, The structure of maximal spectral spaces of generalized scalar operators, Czechoslovak Math. J. 23 (98), (1973), 493-496. (1973) MR0320804

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