Akcije

Matematički vesnik
kako citirati ovaj članak
podeli ovaj članak

Metrika

  • citati u SCIndeksu: 0
  • citati u CrossRef-u:0
  • citati u Google Scholaru:[]
  • posete u poslednjih 30 dana:2
  • preuzimanja u poslednjih 30 dana:2

Sadržaj

članak: 1 od 1  
Back povratak na rezultate
2002, vol. 54, br. 3-4, str. 111-115
On the three-space-problem for dF spaces and their duals
(naslov ne postoji na srpskom)
aUniverzitet u Beogradu, Matematički fakultet, Srbija
bUniverzitet u Beogradu, Mašinski fakultet, Srbija

e-adresakadelbur@rnatf.bg.ac.yu, stojanr@mi.sanu.ac.yu
Projekat:
Projekat Ministarstva nauke Republike Srbije, br. 1856: Structures of functional analysis and differential equations

Ključne reči: Three-space-problem DF space. dF space; dual Frechet space
Sažetak
(ne postoji na srpskom)
It is shown that dF spaces of K. Brauner behave more regularly than DF spaces in connection with the three-space-problem. In particular, this problem has a positive answer in the class of Frechet spaces for the property of being the strong dual of a barrelled dF space. Thus, a partial positive answer to a question of D. Vogt is obtained.
Reference
Bierstedt, K.D., Bonet, J. (1992) Biduality in Frechet and (LB)-spaces. u: K. D. Bierstedt. J. Bonet. J. Horvath, M. Maestre [ur.] Progress in Functional Analysis, Amsterdam, itd: North-Holland, pp. 113-133
Bonet, J., Dierolf, S. (1993) On the lifting of bounded sets in Frechet spaces. 36, 277-281
Bonet, J., Dierolf, S., Fernandez, C. (1990) On the three-space-problem for distinguished Fr\'echet spaces. Bull. Soc. Roy. Sci. Liege, 59, 4, 301-306
Brauner, K. (1973) Duals of Fr\'echet spaces and a generalization of the Banach-Dieudonn\'e theorem. Duke Mathematical Journal, 40, 845-855
Castillo, J.M.F., Gonzalez, M. (1997) Three-space problems in Banach space theory. Lecture Notes in Mathematics, 267-
Diaz, J.C., Dierolf, S., Domanski, P., Fernandez, C. (1992) On the three-space-problem for dual Frechet spaces. Bull. Polish Acad. Sci. Math., 40, 221-224
Dierolf, S. (1993) On the three-space problem and the lifting of bounded sets. Collect. Math., 44, 3, 81-89
Dierolf, S., Schwanengel, U. (1979) Examples of locally compact noncompact minimal topological groups. Pacific Journal of Mathematics, 82, 2, 349-355
Graev, M.I. (1950) Theory of topological groups. Uspekhi Matematicheskikh Nauk, 5, 3-56
Kadelburg, Z., Radenović, S. (1997) Subspaces and quotients of topological and ordered vector spaces. Novi Sad: Institute of Mathematics
Kadelburg, Z., Radenović, S. (1996) Three-space-problem for some classes of linear topological spaces. Comment. Math. Univ. Carolinae, 37, 3, 507-514
Kothe, G. (1983) Topological vector spaces. Berlin, itd: Springer Verlag, I
Meise, R., Vogt, D. (1992) Einfuhrung in Funktionalanalysis. Wiesbaden: Vieweg
Roelcke, W., Dierolf, S. (1981) On the three-space-problem for topological vector spaces. Collect. Math., 32, 1, 13-35
Schaefer, H.H., Wolff, M.P. (1999) Topological vector spaces. Berlin, itd: Springer Verlag
Vogt, D. (1977) Subspaces quotients of (s). u: K. D. Bierstedt, B. Fuchssteiner [ur.] Functional Analysis: Surveys: Recent Results, Amsterdam, itd: North-Holland, pp. 167-187
Vogt, D. (1985) On two classes of $(F)$-spaces. Arch. Math. (Basel), 45, 3, 255-266
Vogt, D. (1987) Lecture on projective spectra of DF-spaces. preprint
 

O članku

jezik rada: engleski
vrsta rada: izvorni naučni članak
objavljen u SCIndeksu: 02.06.2007.

Povezani članci

Nema povezanih članaka