Intersections of Fréchet Spaces and (LB)-Spaces

previous :: next

Intersections of Fréchet Spaces and (LB)-Spaces

Angela A. Albanese and José Bonet

Source: Rocky Mountain J. Math. Volume 36, Number 4 (2006), 1093-1105.

First Page: Show

Primary Subjects: 46A04

Secondary Subjects: 46A08, 46A13, 46A45

Full-text: Open access

PDF File (154 KB)

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1181069405
Digital Object Identifier: doi:10.1216/rmjm/1181069405
Mathematical Reviews number (MathSciNet): MR2274885

back to Table of Contents

References

A.A. Albanese, A. Corli and L. Rodino, Hypoellipticity and local solvability in Gevrey classes, Math. Nachr. 242 (2002), 5-16.

Mathematical Reviews (MathSciNet): MR1916845

Zentralblatt MATH: 1056.35049

Digital Object Identifier: doi:10.1002/1522-2616(200207)242:1<5::AID-MANA5>3.0.CO;2-E

A.A. Albanese, G. Metafune and V.B. Moscatelli, Representations of the spaces $C^m(\Omega)\cap H^k,p(\Omega)$, Math. Proc. Cambridge Philos. Soc. 120 (1996), 489-498.

Mathematical Reviews (MathSciNet): MR1388202

Zentralblatt MATH: 0886.46021

Digital Object Identifier: doi:10.1017/S0305004100075034

K.D. Bierstedt and J. Bonet, Dual density conditions in (DF)-spaces, I, Results Math. 14 (1988), 242-274.

Mathematical Reviews (MathSciNet): MR964043

--------, Weighted (LF)-spaces of continuous functions, Math. Nachr. 165 (1994), 25-48.

Mathematical Reviews (MathSciNet): MR1261361

Zentralblatt MATH: 0839.46015

Digital Object Identifier: doi:10.1002/mana.19941650104

J. Bonet, Intersections of Fréchet Schwartz spaces and their duals, Arch. Math. 68 (1997), 320-325.

Mathematical Reviews (MathSciNet): MR1435331

Digital Object Identifier: doi:10.1007/s000130050062

J. Bonet and S. Dierolf, On the lifting of bounded sets in Fréchet spaces, Proc. Edinb. Math. Soc. (2) 36 (1993), 277-281.

Mathematical Reviews (MathSciNet): MR1221048

Digital Object Identifier: doi:10.1017/S001309150001837X

J. Bonet and C. Fernández, Bounded sets in (LF)-spaces, Proc. Amer. Math. Soc. 123 (1995), 3717-3723.

Mathematical Reviews (MathSciNet): MR1277098

Zentralblatt MATH: 0842.46003

Digital Object Identifier: doi:10.2307/2161899

JSTOR: links.jstor.org

J. Bonet and J. Taskinen, Non-distinguished Fréchet function spaces, Bull. Soc. Roy. Sci. Liège 58 (1989), 483-490.

Mathematical Reviews (MathSciNet): MR1039677

V.E. Cholodovskij, On quasinormability of semimetrizable topological vector space, Funk. Anal. 7 (1976), 157-160.

Mathematical Reviews (MathSciNet): MR625159

W.J. Davis, T. Figiel, W.B. Johnson and A. Pelczyński, Factoring weakly compact operators, J. Funct. Analysis 17 (1974), 311-327.

Mathematical Reviews (MathSciNet): MR355536

Digital Object Identifier: doi:10.1016/0022-1236(74)90044-5

Zentralblatt MATH: 0306.46020

J.C. Díaz and M.A. Minarro, Distinguished Fréchet spaces and projective tensor product, Doga-Tr. J. Math. 14 (1990), 191-208.

Mathematical Reviews (MathSciNet): MR1077674

S. Dierolf and Khin Aye Aye, On projective limits of Moscatelli type, in Functional analysis, Walter de Gruyter, Berlin, 1996, pp. 105-118.

Mathematical Reviews (MathSciNet): MR1420441

Zentralblatt MATH: 0902.46001

L. Frerick, On vector-valued sequence spaces, Note Mat. 14 (1994), 1-43.

Mathematical Reviews (MathSciNet): MR1442004

Zentralblatt MATH: 0881.46009

L. Frerick and J. Wengenroth, Weakly acyclic (LF)-spaces, in Functional analysis, Walter de Gruyter, Berlin, 1996, pp. 169-177.

Mathematical Reviews (MathSciNet): MR1420447

Zentralblatt MATH: 0907.46003

L. Hörmander, The analysis of linear partial differential operators I and II, Springer, Berlin, 1983.

Mathematical Reviews (MathSciNet): MR717035

H. Jarchow, Locally convex spaces, B.G. Teubner, Stuttgart, 1981.

Mathematical Reviews (MathSciNet): MR632257

Q. Jing-Hui, Retakh's conditions and regularity properties of (LF)-spaces, Arch. Math. 67 (1996), 302-307.

Mathematical Reviews (MathSciNet): MR1407333

Zentralblatt MATH: 0858.46007

Digital Object Identifier: doi:10.1007/BF01197594

M. Langenbruch, Continuation of Gevrey regularity for solutions of partial differential operators, in Functional analysis, Walter de Gruyter, Berlin, 1996, pp. 249-280.

Mathematical Reviews (MathSciNet): MR1420453

Zentralblatt MATH: 0886.35031

--------, Surjective partial differential operators on spaces of ultradifferentiable functions of Roumieu type, Result. Math. 29 (1996), 254-275.

Mathematical Reviews (MathSciNet): MR1387567

--------, Surjectivity of partial differential operators on Gevrey classes and extensions of regularity, Math. Nachr. 196 (1998), 103-140.

Mathematical Reviews (MathSciNet): MR1657998

Zentralblatt MATH: 0933.35044

V.P. Palamodov, Homological methods in the theory of locally convex spaces, Russian Math. Surveys 26 (1971), 1-64.

Mathematical Reviews (MathSciNet): MR293365

P. Pérez Carreras and J.Bonet, Barrelled locally convex spaces, North-Holland Math. Stud., vol. 131, Amsterdam, 1987.

Mathematical Reviews (MathSciNet): MR880207

J. Taskinen, Examples of non-distinguished Fréchet spaces, Ann. Acad. Sci. Fenn. Ser. A I Math. 14 (1989), 75-88.

Mathematical Reviews (MathSciNet): MR997972

M. Valdivia, A characterization of totally reflexive spaces, Math. Z. 200 (1989), 327-346.

Mathematical Reviews (MathSciNet): MR978594

Digital Object Identifier: doi:10.1007/BF01215650

D. Vogt, Regularity properties of (LF)-spaces, in Progress in functional analysis, North-Holland Math. Stud., vol. 170, Amsterdam, 1992, pp. 57-84.

Mathematical Reviews (MathSciNet): MR1150738

Zentralblatt MATH: 0779.46005

J. Wengenroth, Retractive (LF)-space, Ph.D. Thesis, University of Trier, 1995.

--------, Acyclic inductive spectra of Fréchet spaces, Studia Math. 120 (1996), 247-258.

Mathematical Reviews (MathSciNet): MR1410451

--------, Derived functors in functional analysis, Lecture Notes in Math., vol. 1810-2003.

previous :: next

Rocky Mountain Journal of Mathematics