منابع مشابه
The Brezis-Browder Theorem in a general Banach space
During the 1970s Brezis and Browder presented a now classical characterization of maximal monotonicity of monotone linear relations in reflexive spaces. In this paper, we extend (and refine) their result to a general Banach space. We also provide an affirmative answer to a problem posed by Phelps and Simons. 2010 Mathematics Subject Classification: Primary 47A06, 47H05; Secondary 47B65, 47N10, ...
متن کاملA FUZZY VERSION OF HAHN-BANACH EXTENSION THEOREM
In this paper, a fuzzy version of the analytic form of Hahn-Banachextension theorem is given. As application, the Hahn-Banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.
متن کاملMinimization Theorem in a Banach Space and Its Applications
In this paper, we prove a minimization theorem for a proper lower semicontinuous convex function in a real Banach space, applying Takahashi’s nonconvex minimization theorem. Then we give another proof of Bishop-Phelps’ theorem.
متن کاملOn a Question on Banach–stone Theorem
In this paper we use the standard terminology and notations of the Riesz spaces theory (see [2]). The Banach lattice of the continuous functions from a compact Hausdorff space into a Banach lattice E is denoted by C(K,E). If E = R then we write C(K) instead of C(K,E). 1 stands for the unit function in C(K). One version of the Banach–Stone theorem states that: Theorem 1. Let X and Y be compact H...
متن کاملOn the Banach-Steinhaus Theorem
A Banach-Steinhaus theorem for sets of continuous linear mappings on topological modules which are Baire spaces is proved, and some consequences of it are derived. Mathematics Subject Classification: 46H25, 46S10, 46E10
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy
سال: 1946
ISSN: 0021-4280
DOI: 10.2183/pjab1945.22.352