-spaces and the closed-graph theorem
نویسندگان
چکیده
منابع مشابه
Some forms of the closed graph theorem
In this paper we shall establish some forms of the closed, graph theorem for locally convex spaces, using the approach of Ptak(l7). Our interest is in classifying pairs of locally convex spaces (E, F) which have the property that every closed graph linear mapping T: E -> F is continuous; if (E,F) has this property then we shall say that (E, F) is in the class *&. \is# is a particular class of l...
متن کاملBanach's Continuous Inverse Theorem and Closed Graph Theorem
The terminology and notation used here have been introduced in the following articles: [3], [4], [2], [15], [11], [14], [1], [5], [13], [12], [19], [20], [16], [7], [17], [8], [18], [9], and [6]. Let X, Y be non empty normed structures, let x be a point of X, and let y be a point of Y . Then 〈x, y〉 is a point of X × Y. Let X, Y be non empty normed structures, let s1 be a sequence of X, and let ...
متن کاملClosed Graph Theorems for Bornological Spaces
The aim of this paper is that of discussing closed graph theorems for bornological vector spaces in a self-contained way, hoping to make the subject more accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over R and C to deduce closed graph theorems for bornological vector spaces over any complete, non-trivially valued field, hence encompassing...
متن کاملThe Existence Theorem for Contractive Mappings on $wt$-distance in $b$-metric Spaces Endowed with a Graph and its Application
In this paper, we study the existence and uniqueness of fixed points for mappings with respect to a $wt$-distance in $b$-metric spaces endowed with a graph. Our results are significant, since we replace the condition of continuity of mapping with the condition of orbitally $G$-continuity of mapping and we consider $b$-metric spaces with graph instead of $b$-metric spaces, under which can be gen...
متن کاملTransversal spaces and common fixed point Theorem
In this paper we formulate and prove some xed and common xed pointTheorems for self-mappings dened on complete lower Transversal functionalprobabilistic spaces.
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 Edinburgh Mathematical Society
سال: 1968
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500012463