Non-Schwartzian Power Series Spaces.
Boris Mityagin (1983)
Mathematische Zeitschrift
Abdolrahman Razani, Valdimir Rakočević, Zahraa Goodarzi (2010)
Open Mathematics
The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.
S.C. Power (1991)
Journal für die reine und angewandte Mathematik
James Hagler (1977)
Studia Mathematica
Peter A. Loeb, Horst Osswald (1997)
Monatshefte für Mathematik
Sherstyukov, V.B. (2007)
Sibirskij Matematicheskij Zhurnal
Campbell, Stephen L. (1982)
International Journal of Mathematics and Mathematical Sciences
R. Lashkaripour, D. Foroutannia (2007)
Matematički Vesnik
M. Jimenéz Sevilla, Rafael Payá (1998)
Studia Mathematica
For each natural number N, we give an example of a Banach space X such that the set of norm attaining N-linear forms is dense in the space of all continuous N-linear forms on X, but there are continuous (N+1)-linear forms on X which cannot be approximated by norm attaining (N+1)-linear forms. Actually,X is the canonical predual of a suitable Lorentz sequence space. We also get the analogous result for homogeneous polynomials.
J. B. Cooper (1975)
Collectanea Mathematica
Eleni Katirtzoglou (1997)
Collectanea Mathematica
Boris Sagraloff (1979)
Journal für die reine und angewandte Mathematik
R. Bellmann (1976)
Mathematische Annalen
Kamthan, P.K. (1979)
Portugaliae mathematica
Christopher Stuart (2000)
Banach Center Publications
In this paper we present a general “gliding hump” condition that implies the barrelledness of a normed vector space. Several examples of subspaces of are shown to be barrelled using the theorem. The barrelledness of the space of Pettis integrable functions is also implied by the theorem (this was first shown in [3]).
Poggi-Corradini, Pietro (1995)
Journal of Convex Analysis
Rosa Fernández (1988)
Stochastica
Some basic properties of generalized normed spaces are investigated.
Gerald SILVERMAN (1971)
Mathematische Annalen
Bosch, Carlos, Kučera, Jan, McKennon, Kelly (1991)
International Journal of Mathematics and Mathematical Sciences
Václav Zizler (1971)
Czechoslovak Mathematical Journal