n-Reflexivity for linear spaces of operators
Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 385-391

Voir la notice de l'article provenant de la source Cambridge University Press

We discuss the relationship between the n-reflexivity of a linear sub-space S in B(H), property (A1/n), Class Co and strictly n-separating vectors. We also show that every algebraic operator with property (A2) is hyperreflexive.
Choi, Kun Wook. n-Reflexivity for linear spaces of operators. Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 385-391. doi: 10.1017/S0017089500032730
@article{10_1017_S0017089500032730,
     author = {Choi, Kun Wook},
     title = {n-Reflexivity for linear spaces of operators},
     journal = {Glasgow mathematical journal},
     pages = {385--391},
     year = {1998},
     volume = {40},
     number = {3},
     doi = {10.1017/S0017089500032730},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032730/}
}
TY  - JOUR
AU  - Choi, Kun Wook
TI  - n-Reflexivity for linear spaces of operators
JO  - Glasgow mathematical journal
PY  - 1998
SP  - 385
EP  - 391
VL  - 40
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032730/
DO  - 10.1017/S0017089500032730
ID  - 10_1017_S0017089500032730
ER  - 
%0 Journal Article
%A Choi, Kun Wook
%T n-Reflexivity for linear spaces of operators
%J Glasgow mathematical journal
%D 1998
%P 385-391
%V 40
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032730/
%R 10.1017/S0017089500032730
%F 10_1017_S0017089500032730

[1] 1.Azoff, E. A., On finite rank operators and preannihilators, Mem. Amer. Math. Soc. 357 (1986). Google Scholar

[2] 2.Bercovici, H., Operator theory and arithmetic in H°°, (Amer. Math. Soc, 1988). Google Scholar | DOI

[3] 3.Bercovici, H., Foias, C. and Sz-Nagy, B., Reflexive and hyperreflexive operators of class C, Acta Sci. Math. (Szeged) 43 (1981), 5–13. Google Scholar

[4] 4.Bercovici, H., Foias, C. and Pearcy, C., Dual algebra with applications to invariant subspaces and dilation theory, CBMS Conf. Ser. in Math. No. 56 (Amer. Math. Soc, 1985). Google Scholar | DOI

[5] 5.Bercovici, H., Kim, H. and Pearcy, C., On reflexivity of operators, J. Math. Anal. Appl. 126 (1987), 316–323. Google Scholar

[6] 6.Chevreau, B. and Esterle, J., Pettis'lemma and topological properties of dual algebras, Michigan Math. J. 34 (1987), 141–146. Google Scholar | DOI

[7] 7.Choi, K., Jo, Y. and Jung, I., Dual operator algebras generated by a Jordan operator, Kyungpook Math. J. 34 (1994), 43–51. Google Scholar

[8] 8.Choi, K., Jung, I. and Kim, B., On weak dilation of a representation, Houston J. Math. 22 (1996), 341–355. Google Scholar

[9] 9.Ding, L., On strictly separating vectors and reflexivity, Integral Equations Operator Theory 19 (1994), 373–380. Google Scholar | DOI

[10] 10.Ding, L., On a pattern of reflexivite operator spaces, Proc. Amer. Math. Soc, to appear. Google Scholar

[11] 11.Hadwin, D., Compression, graphs and hyperreflexivity, J. Fund. Anal., to appear. Google Scholar

[12] 12.Hadwin, D. and Nordgren, E., Reflexivity and direct sums, Ada Sci. Math. (Szeged) 55 (1991), 181–197. Google Scholar

[13] 13.Kraus, J. and Larson, D., Some applications of a technique for constructing reflexive operator algebras, J. Operator Theory 13 (1985), 227–236. Google Scholar

[14] 14.Loginov, A. I. and Shulman, V. S., On hereditary and intermediate reflexivity of w*-algebras, Izv. Akad. Nauk SSSR Ser. Math. 396 (1975), 1260–1273. Google Scholar

[15] 15.Sz-Nagy, B. and Foias, C., Harmonic analysis of operators on Hilbert space (North-Holland, 1970). Google Scholar

[16] 16.Takahashi, K., On the reflexivity of contractions with isometric parts, Ada Sci. Math. (Szeged) 53 (1989), 147–152. Google Scholar

Cité par Sources :