Nicolae Popa

Address:

Institute of Mathematics of the Romanian Academy,
P.O. Box 1-764, RO-70700 Bucharest, Romania

Activity:

• Ph. D. at University in Bucharest 1970
• Senior Researcher at Institute of Mathematics of Romanian Academy and Professor at University of Bucharest
• Fellow of Alexander von Humboldt Foundation (Germany) in 1974, 1979, 1982, 1990
• Simion Stoilow Prize of Romanian Academy 1976
• Visiting Professor at University of Bordeaux (France) 1993
• Fellow of Commission of Europeean Comunities at Univeristy of Paris VI 1993 (three months)
• Member of Editorial Board of Revue Roumaine des Mathematiques Pures et Appliquees
• Vice-president of the Society of Mathematicians from Romania

Fields of interest:

Function Spaces, Operator Ideals, Harmonic Analysis

Participations to scientific meetings in the last three years:

• Third International Conference on Functional Analysis, Maratea (Italy), 1996
• Conference on Function Spaces, Differential Equations, Spectral Analysis in Jena (Germany), 1997
• Fifth conference on Function Spaces in Poznan (Poland), 1998

Publications:

• Monographs and surveys
  • Topological and bornological tensor products (romanian) - Ed. Academiei, Bucuresti, 1976. MR57 #17309, iunie 1979, p. 2292, ref. N. Tita.
  • Elements of theory of Banach spaces (co-author C. Niculescu) - Ed. Academiei, Bucuresti, 1981. MR82m #46010, dec. 1982, p. 5185, ref. G. J.O. Jameson.
  • Rearrangement invariant p-spaces of functions, 0 < p <=1, I,(romanian) Series Order structures in functional analysis vol. 1, Ed. Academiei, Bucuresti, p. 209-283, 1986. MR87h #46001, p.4261, august 1987.
  • Rearrangement invariant p-spaces of functions, 0 < p <=1, II (romanian) Series Order structures in functional analysis vol. II, Ed. Academiei, p. 147-175, 1989. MR91c #46003, martie 1991.
  • Dyadic Hardy spaces generated by rearrangement invariant space X: some topological vector-space properties - Series Order structures in functional analysis (romanian) vol. III, Ed. Academiei, p. 164-214, 1992. MR94j #46001.
• Papers
  • Injective objects in category of Archimedian spaces with axial elements - (romanian) St. si cerc. mat. 17, 1331-1333, 1965. MR34 #8156, dec. 1967, p. 1499, ref. V. Poenaru.
  • Produits tensoriels ordonnés - Rev. Roumaine Math. Pures et Appl., 13, p. 236-246, 1968. MR37 #4560, p. 840-841, ref. H.H. Schaefer.
  • Quelques applications de la théorie des catégories dans la théorie des distributions - Rev. Roumaine Math. Pures et Appl., 13, p. 671-682, 1968. MR42 #845, p. 151, iulie 1971.
  • Les duals des espaces de Fréchet ordonnés - Rev. Roumaine Math. Pures et Appl., 14, p. 223-230, 1969. MR40 #696, ref. G. Brown.
  • Une condition suffisante pour que E \widehat\otimes F soit un treillis localement-convexe - C. R. Acad. Sci. Paris, 268, p.487-489, 1969. MR40 #693, iulie 1970, p.129, ref. G. Brown.
  • Le produit tensoriel de deux (AL)-espaces - C. R. Acad. Sci. Paris, 268, p.1261-1263, 1969. MR40 #694, iulie 1970, p. 129, ref. H.H. Schaefer.
  • Un critère de nucléarité pour des treillis - C.R. Acad. Sci. Paris, 269, p. 355-356, 1969. MR43 #874, ian. 1972, p.168, ref. D. Strauss.
  • Sur les produits tensoriels ordonnés - Math. Z., 110, p. 206-210, 1969. MR40 #695, p. 129, ref. H. H. Schaefer.
  • Sur deux théorèmes de Grothendieck - Rev. Roumaine Math. Pures et Appl., 14, p. 837-844, 1969. MR40 #7772, dec. 1970, ref. A. Wiweger.
  • Sur le support des distributions - Rev. Roumaine Math. Pures et Appl., 14, p.1055-1059, 1969. MR40 #6263, p.1144, noembrie 1970, ref. C. W. Swartz.
  • Sur la propriété d'approximation et les applications nucléaires - Rev. Roumaine Math. Pures et Appl., 14, p.1311-1322, 1969. MR41 #8965, p.1649, iunie 1971, ref. U. Schlotterbeck.
  • Distributions fonctorielles définies par des fonctions - Rev. Roumaine Math. Pures et Appl., 14, p.1609-1614, 1969. MR41 #4233, martie 1971, ref. H. Jarchow.
  • Sur les espaces nucléaires ordonnés - Rev. Roumaine Math. Pures et Appl., 15, p. 385-394, 1970. MR42 #6580, noembrie 1971, p. 1192, ref. U. Schlotterbeck.
  • Topological ordered tensor products - (romanian) St. si cercetari mat., 23, p. 201-286, 1971. MR49 #1062, p.185, ianuarie 1975, ref. R. Cristescu.
  • Distributions fonctorielles et quelques applications - Rev. Roumaine Math. Pures et Appl., 16, p.927-956, 1971. MR45 #889, ianuarie 1973, p.159, ref. H. Jarchow.
  • Une formule de Künneth pour les cofaisceaux du type DFN - Math. Ann., 192, p.144-154, 1971. MR44 #769, iulie 1972, p. 150, ref. H. Gonshor.
  < li>Le théorème du graphe (b)-fermé - C. R. Acad. Sci. Paris, 273, p.294-297, 1971. MR44 #5750, noembrie 1972, p.1048, ref. K. Floret.
  • Sur le support des fonctionnelles analytiques vectorielles et quelques applications - Rev. Roumaine Math. Pures et Appl., 18, p.85-100,1973. MR48 #4726, p.824, septembrie 1974, ref. P. Schapira.
  • Sur le problème de Levi dans les espaces de Silva à base - C. R. Acad. Sci. Paris, 277, p.211-214, 1973. MR51 #8464, p.1192, aprilie 1976, ref. J. Kajiwara.
  • Sur certains questions d'espaces localement-convexes réticulés - Rev. Roum. Math. Pures et Appl., 21, p. 57-61, 1976. MR53 #11334, mai 1977, p. 1588, ref. H. Hogbe Nlend.
  • Quelques caractérisations opératorielles des L_p-espaces - Arch. der Math., 27, p. 52-57, 1976. MR55 #8759, aprilie 1978, p. 1187, ref. J. R. Holub.
  • Quelques remarques sur un produit tensoriel d'opérateurs - Arch. der Math., 27, p. 199-205, 1976. MR53 #3754, februarie 1977, p. 528, ref. J.B. Prolla.
  • Die Permanenzeigenschaften der Tensorprodukte von Banachverbänden - Lecture Notes in Math. 743, p. 627-647, 1979. MR81b #46039, p.579, ref. R. J. Nagel.
  • Sur les applications du type <= p et >= p - Rev. Roumaine Math. Pures et Appl., 23, p.445-462, 1978. MR58 #12276, septembrie 1979, ref. R. Cristescu.
  • Opérateurs p-absolument sommables sur L_1(\mu) - Arch. der Math., 30, p. 62-66, 1978. MR57 #13451, mai 1979, p. 1740, ref. A. Alexiewicz.
  • Some ideals of operators on l_p - Rev. Roumaine Math. Pures et Appl., 24, p. 1117-1127, 1979. MR82a #47045, ianuarie 1982, p. 185, ref. N. Tomczak-Jaegermann.
  • Complemented sublattices in l_p, 0< p < 1 and an extension of Ando's theorem - Arch. der Math., 32, p. 276-288, 1979. MR80f #46021, iunie 1980, ref. H. E. Lacey.
  • On the complemented subspaces of l_p, 0<p<1 - Rev. Roumaine Math. Pures et Appl., 26, p. 287-299, 1981. MR82f #46011, iunie 1982, p. 2499, ref. H. E. Lacey.
  • Basic sequences and subspaces in Lorentz sequence spaces without local-convexity - Trans. Amer. Math. Soc., 263, p. 431-456, 1981. MR82f #46012, p. 2499, ref. Bor Luh-Lin.
  • Uniqueness of symmetric structure on L_p(\mu), for 0<p<1 - Rev. Roumaine Math. Pures et Appl., 27, p. 1061-1083, 1982. MR84g #46045, iulie 1984, ref. W. Lusky.
  • Rearrangement invariant p-spaces on (0,1), 0<p<1, containing a complemented subspace isomorphic to l_2 - Rev. Roumaine Math. Pures et Appl., 28, p. 153-160, 1983. MR85a #46021, ianuarie 1985, p. 137, ref. G. Schechtman.
  • Interpolation theorems for rearrangement invariant p-spaces of functions, for 0<p<1 and some applications - Suppl. Redinc. Circ. Mat. Palermo, Serie II, p. 199-216, 1982. MR85c #46028, martie 1985, p.1001, ref. M. Milman.
  • Primary Banach spaces, 0<p<1 - Anal. Univ. Craiova, 10, p. 6-12, 1982.
  • The primariness of a r.i. p-space of functions, 0<p<1 - In Lecture Notes in Math. 991, p. 202-214, 1983. MR85d #46037, aprilie 1985, p. 1517, ref . Y. Abramovich.
  • Symmetric p-normed spaces - Suppl. Redinc. Circ. Mat. Palermo, Serie II, p. 209-217, 1984. MR85k #46005, noiembrie 1985, p. 4984, ref. B. Rosenberger.
  • Integral and Carleman operators on Banach lattices - Teubner Texte zur Math., 67, p. 203-211, 1984. MR85m #47037, decembrie 1985, p. 5479, ref. C. D. Aliprantis.
  • Some new classes of perfect Banach lattices related to Carleman operators and their adjoints - Constructive theory of functions, p. 684-690, Publ. House of Bulgarian Academy of Sci., Sofia, 1984.
  • Almost regular and integral operators on p-function spaces, 0<p<1 - Suppl. Redinc. Circ. mat. Palermo, Serie II, p. 95-108, 1984. MR86h #47046, august 1986, p. 3596, ref. Y. Abramovich.
  • Primariness of some vector-valued function spaces - Rev. Roumaine Math. Pures et Appl., 32, p.65-77, 1987. MR88g #46047, p.3585, iulie 1988, ref. Y. Benyamini.
  • Duals of dyadic Hardy spaces generated by a rearrangement invariant function space X - Rev. Roumaine Math. Pures et Appl., 33, p. 769-778, 1988. MR90c #46038, ref. A. Mekler.
  • Isomorphism theorems for dyadic Hardy spaces generated by a rearrangement invariant space X on unit interval - Rev. Roumaine Math. Pures et Appl., 35, p. 261-281, 1990. MR91m #46042, ref. A. Mekler.
  • A Gamlen-Gaudet type theorem in the unconditional part of L_\infty(0,1) with respect to the Haar system - Rev. Roumaine Math. Pures Appl., 37, p. 763-778, 1992. MR94c #46059, ref. I. Ya. Novikov.
  • Interpolation of Hardy-Lorentz spaces of functions and some applications - Rev. Roumaine Math. Pures et Appl., 38, p. 687-696, 1993.
  • Partie inconditionnelle des espaces de Banach; quelques exemples, Séminaire Choquet d'initiation en analyse, 14 pages, années 1993-94.
  • Dual spaces of dyadic Hardy spaces generated by a rearrangement invariant space X on [0,1], Ark. Mat., 36 (1998), 163-175.
  • Unicity of the representation of dyadic Hardy spaces generated by a rearrangement invariant space X on [0,1], Function space (Poznan 1998), pp.445-458, Lecture Notes in Pure and Applied Mathematics, 213, Dekker, New-York, 2000.
  • Dyadic Hardy spaces generated by a rearrangement invariant space X on [0 ,1] are not isomorphic to any rearrangement invariant space Y on [0,1], Rev. Roumaine Math. Pures Appl. 44 (1999), no. 5-6, 819--844 (2000).
  • Non-commutative BMO space, Archiv der Math., 74(2000),111-114.
  • (co-authors: Barza, Sorina; Persson, Lars-Erik) A matriceal analogue of Fejer's theory, Math. Nachr. 260 (2003), 14--20.
  • (co-authors: Barza, Sorina; Kravvaritis, Dimitri) Matriceal Lebesgue spaces and Hölder inequality, J. Funct. Spaces Appl. 3 (2005), no. 3, 239--249.
  • (co-authors: Barza, Sorina; Lie, Victor) Approximation of infinite matrices by matricial Haar polynomials, Ark. Mat. 43 (2005), no. 2, 251--269.