@article{AIHPA_1982__37_1_29_0, author = {Antoine, J.-P. and Mathot, F.}, title = {Regular operators on partial inner product spaces}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {29--50}, publisher = {Gauthier-Villars}, volume = {37}, number = {1}, year = {1982}, mrnumber = {667881}, zbl = {0521.47019}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1982__37_1_29_0/} }
TY - JOUR AU - Antoine, J.-P. AU - Mathot, F. TI - Regular operators on partial inner product spaces JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1982 SP - 29 EP - 50 VL - 37 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1982__37_1_29_0/ LA - en ID - AIHPA_1982__37_1_29_0 ER -
%0 Journal Article %A Antoine, J.-P. %A Mathot, F. %T Regular operators on partial inner product spaces %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1982 %P 29-50 %V 37 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1982__37_1_29_0/ %G en %F AIHPA_1982__37_1_29_0
Antoine, J.-P.; Mathot, F. Regular operators on partial inner product spaces. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 37 (1982) no. 1, pp. 29-50. http://archive.numdam.org/item/AIHPA_1982__37_1_29_0/
[1] J. Funct. Anal., t. 23, 1976, p. 369-378. | MR | Zbl
and ,[2] J. Funct. Anal., t. 23, 1976, p. 379-391. | MR | Zbl
and ,[3] J. Math. Phys., t. 21, 1980, p. 268-279. | MR | Zbl
,[4] J. Math. Phys., t. 21, 1980, p. 2067-2079. | MR | Zbl
,[5] Commun. Math. Phys., t. 21, 1971, p. 85-124. | MR | Zbl
,[6] Reports Math. Phys., t. 3, 1972, p. 279-293 ; Wiss. Z. Karl-Marx-Univ. Leipzig, Math. Naturwiss R., t. 24, 1975, p. 465-471. | MR | Zbl
,[7] Comm. Math. Phys., t. 18, 1970, p. 291-300 ; Riv. Math. Univ. Parma, t. 3, 1974, p. 21-32. | MR | Zbl
, , ,[8] Pacific J. Math., t. 65, 1976, p. 77-95 ; ibid., t. 66, 1976, p. 411-431 ; ibid., t. 69, 1977, p. 105-115. | Zbl
,[9] Pacific J. Math., t. 70, 1977, p. 369-382. | MR | Zbl
and ,[10] J. Math. Phys., t. 22, 1981, p. 974-978. | MR | Zbl
and ,[11] Partial inner product spaces generated by algebras of unbounded operators, Preprint UCL-IPT-81-10 (to appear).
and ,[12] The Rigged Hilbert Space in Quantum Mechanics. Springer Lecture Notes in Physics, t. 78, 1978, and earlier references therein. | MR
,[13] J. Math. Phys., t. 7, 1966, p. 1097-1104 ; Commun. Math. Phys., t. 3, 1966, p. 98-119. | MR | Zbl
,[14] J. Math. Phys., t. 10, 1969, p. 53-69 ; ibid., t. 10, 1969, p. 2276-2290. | Zbl
,[15] Decomposition of families of unbounded operators, in RCP 25, Strasbourg, t. 22, 1975, p. 26-59. | MR
,Comm. Math. Phys., t. 42, 1975, p. 231-252. | MR | Zbl
and ,[16] J. Anal. Math. (Jerusalem), t. 13, 1964, p. 115-256. | Zbl
,[17] Commun. Pure Appl. Math., t. 20, 1967, p. 1-101. | Zbl
,[18] Wiss. Z. Karl-Marx-Univ. Leipzig, Math. Naturwiss R., t. 27, 1978, p. 245-251 ; Rigged Hilbert spaces and topologies on operator algebras, Reports Math. Phys. (to appear). | MR | Zbl
and ,[19] Methods of Modern Mathematical Physics, I. Functional Analysis, Academic Press, New York and London, 1975. | MR
and ,[20] Ann. Math., t. 107, 1962, p. 125-173. | Zbl
,[21] J. Math. Phys., t. 22, 1981, p. 1386-1389. | MR | Zbl
,[22] Reports Math. Phys., t. 3, 1972, p. 295-305. | MR | Zbl
and ,[23] General Eigenfunction Expansions and Unitary Representations of Topological Groups, PWN, Warzawa, 1968. | MR | Zbl
,[24] Expansions in Eigenfunctions of Selfadjoint Operators, Amer. Math. Soc., Providence R. I., 1968 (Chap. V). | MR | Zbl
,[25] Theory of Group Representations and Applications, PWN Warszawa 1977. | MR
and ,[26] Commun. Math. Phys., t. 42, 1975, p. 183-193. | MR | Zbl
,[27] Amer. J. Math., t. 81, 1959, p. 547-560. | MR | Zbl
and ,Ann. of Math., t. 70, 1959, p. 572-615. | MR | Zbl
,[28] Produits tensoriels topologiques et espaces nucléaires, Memoirs Amer. Math. Soc., t. 16, 1966,, Providence RI. | Zbl
,[29] J. Math. Phys., t. 19, 1978, p. 329-335. | Zbl
and ,