Geodesic
On limits of $L_p$-norms of linear operators
Czechoslovak Mathematical Journal, Tome 32 (1982) no. 3, pp. 474-480
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1982.101822
Classification : 46L50, 46L99 
@article{10_21136_CMJ_1982_101822,
     author = {Stavinoha, Pavel},
     title = {On limits of $L_p$-norms of linear operators},
     journal = {Czechoslovak Mathematical Journal},
     pages = {474--480},
     year = {1982},
     volume = {32},
     number = {3},
     doi = {10.21136/CMJ.1982.101822},
     mrnumber = {669788},
     zbl = {0511.46062},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1982.101822/}
}
TY  - JOUR
AU  - Stavinoha, Pavel
TI  - On limits of $L_p$-norms of linear operators
JO  - Czechoslovak Mathematical Journal
PY  - 1982
SP  - 474
EP  - 480
VL  - 32
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1982.101822/
DO  - 10.21136/CMJ.1982.101822
LA  - en
ID  - 10_21136_CMJ_1982_101822
ER  - 
%0 Journal Article
%A Stavinoha, Pavel
%T On limits of $L_p$-norms of linear operators
%J Czechoslovak Mathematical Journal
%D 1982
%P 474-480
%V 32
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1982.101822/
%R 10.21136/CMJ.1982.101822
%G en
%F 10_21136_CMJ_1982_101822
Stavinoha, Pavel. On limits of $L_p$-norms of linear operators. Czechoslovak Mathematical Journal, Tome 32 (1982) no. 3, pp. 474-480. doi: 10.21136/CMJ.1982.101822

[1] L. Gross: Existence and uniqueness of physical ground states. J. Functional Analysis, 10 (1972), 52-109. | DOI | MR | Zbl

[2] A. Inoue: $L\sb{p}$-spaces and maximal unbounded Hilbert algebras. J. Math. Soc. Japan, 30 (1978), 667-686. | DOI | MR

[3] A. Katavolos: Isometric mappings of a non-commutative $L\sb{p}$-spaces. Canad. J. Math., 28 (1976), 1180-1186. | DOI | MR

[4] R. A. Kunze: $L\sb{p}$ Fourier transforms on locally compact unimodular groups. Trans. Amer. Math. Soc., 89 (1958), 519-540. | MR

[5] E. Nelson: Notes on non-commutative integration. J. Functional Analysis, 15 (1974), 103-116. | DOI | MR | Zbl

[6] T. Ogasawara, K. Yoshinaga: A non-commutative theory of integration for operators. J. Sci. Hiroshima Univ., 18 (1955), 311-347. | DOI | MR | Zbl

[7] A. R. Padmanabhan: Some dominated convergence theorems in a von Neumann algebra. Proc. Jap. Acad., 42 (1966), 347-350. | DOI | MR | Zbl

[8] J. Peetre, G. Sparr: Interpolation and non-commutative integration. Ann. Math. Рurа Appl., 104 (1975), 187-207. | DOI | MR | Zbl

[9] B. Russo: Isometrics of $L\sb{p}$-spaces associated with finite von Neumann algebras. Bulk Amer. Math. Soc., 74 (1968), 228-232. | DOI | MR

[10] B. Russo: The norm of the $L\sb{p}$-Fourier transform I, II, III. Trans. Amer. Math. Soc., 192 (1974), 293-305, Canad. J. Math., 28 (1976), 1121-1131, J. Functional Analysis, 30 (1978), 162-178. | DOI

[11] I. E. Segal: A non-commutative extension of abstract integration. Ann. of Math., 57 (1953), 401-457, correction 58 (1953), 595-596. | MR | Zbl

[12] I. E. Segal: Algebraic integration theory. Bull. Amer. Math. Soc., 71 (1965), 419-489. | DOI | MR | Zbl

[13] W. F. Stinespring: Integrations theorems for gages and duality for unimodular groups. Trans. Amer. Math. Soc., 90 (1959), 15-56. | DOI | MR

[14] F. J. Yeadon: Non-commutative $L\sb{p}$-spaces. Proc. Cambridge Philos. Soc., 77 (1975), 91-102, | MR

[15] F. J. Yeadon, P. E. Kopp: Inequalities for non-commutative $L\sb{p}$-spaces and an application. J. London Math. Soc., 19 (1979), 123-128. | DOI | MR

[16] P. K. Tarn: Isometries of $L\sb{p}$-spaces associated with semifinite von Neumann algebras. Trans. Amer. Math. Soc., 254 (1979), 339-354. | MR

Cité par Sources :