| Title:
|
On limits of $L_p$-norms of linear operators (English) |
| Author:
|
Stavinoha, Pavel |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1982 |
| Pages:
|
474-480 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
46L50 |
| MSC:
|
46L99 |
| idZBL:
|
Zbl 0511.46062 |
| idMR:
|
MR669788 |
| DOI:
|
10.21136/CMJ.1982.101822 |
| . |
| Date available:
|
2008-06-09T14:49:40Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101822 |
| . |
| Reference:
|
[1] L. Gross: Existence and uniqueness of physical ground states.J. Functional Analysis, 10 (1972), 52-109. Zbl 0237.47012, MR 0339722, 10.1016/0022-1236(72)90057-2 |
| Reference:
|
[2] A. Inoue: $L\sb{p}$-spaces and maximal unbounded Hilbert algebras.J. Math. Soc. Japan, 30 (1978), 667-686. MR 0513076, 10.2969/jmsj/03040667 |
| Reference:
|
[3] A. Katavolos: Isometric mappings of a non-commutative $L\sb{p}$-spaces.Canad. J. Math., 28 (1976), 1180-1186. MR 0417799, 10.4153/CJM-1976-117-3 |
| Reference:
|
[4] R. A. Kunze: $L\sb{p}$ Fourier transforms on locally compact unimodular groups.Trans. Amer. Math. Soc., 89 (1958), 519-540. MR 0100235 |
| Reference:
|
[5] E. Nelson: Notes on non-commutative integration.J. Functional Analysis, 15 (1974), 103-116. Zbl 0292.46030, MR 0355628, 10.1016/0022-1236(74)90014-7 |
| Reference:
|
[6] T. Ogasawara, K. Yoshinaga: A non-commutative theory of integration for operators.J. Sci. Hiroshima Univ., 18 (1955), 311-347. Zbl 0064.36705, MR 0070989, 10.32917/hmj/1556935305 |
| Reference:
|
[7] A. R. Padmanabhan: Some dominated convergence theorems in a von Neumann algebra.Proc. Jap. Acad., 42 (1966), 347-350. Zbl 0166.11502, MR 0205099, 10.3792/pja/1195522031 |
| Reference:
|
[8] J. Peetre, G. Sparr: Interpolation and non-commutative integration.Ann. Math. Рurа Appl., 104 (1975), 187-207. Zbl 0309.46031, MR 0473869, 10.1007/BF02417016 |
| Reference:
|
[9] B. Russo: Isometrics of $L\sb{p}$-spaces associated with finite von Neumann algebras.Bulk Amer. Math. Soc., 74 (1968), 228-232. MR 0221294, 10.1090/S0002-9904-1968-11898-1 |
| Reference:
|
[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. 10.1090/S0002-9947-1974-0435731-X |
| Reference:
|
[11] I. E. Segal: A non-commutative extension of abstract integration.Ann. of Math., 57 (1953), 401-457, correction 58 (1953), 595-596. Zbl 0051.34202, MR 0054864 |
| Reference:
|
[12] I. E. Segal: Algebraic integration theory.Bull. Amer. Math. Soc., 71 (1965), 419-489. Zbl 0135.17402, MR 0178384, 10.1090/S0002-9904-1965-11284-8 |
| Reference:
|
[13] W. F. Stinespring: Integrations theorems for gages and duality for unimodular groups.Trans. Amer. Math. Soc., 90 (1959), 15-56. MR 0102761, 10.1090/S0002-9947-1959-0102761-9 |
| Reference:
|
[14] F. J. Yeadon: Non-commutative $L\sb{p}$-spaces.Proc. Cambridge Philos. Soc., 77 (1975), 91-102, MR 0353008 |
| Reference:
|
[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. MR 0527743, 10.1112/jlms/s2-19.1.123 |
| Reference:
|
[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 0539922 |
| . |
