منابع مشابه
Some topologies on the space of quasi-multipliers
Assume that $A$ is a Banach algebra. We define the $beta-$topology and the $gamma-$topology on the space $QM_{el}(A^{*})$ of all bounded extended left quasi-multipliers of $A^{*}.$ We establish further properties of $(QM_{el}(A^{*}),gamma)$ when $A$ is a $C^{*}-$algebra. In particular, we characterize the $gamma-$dual of $QM_{el}(A^{*})$ and prove that $(QM_{el}(A^{*}),gamma)^{*},$...
متن کاملNatural topologies on function spaces
ing the above, for a (not necessarily countable) family . . . φ2 // B1 φ1 // Bo of Banach spaces with continuous linear transition maps as indicated, not recessarily requiring the continuous linear maps to be injective (or surjective), a (projective) limit limiBi is a topological vector space with continuous linear maps limiBi → Bj such that, for every compatible family of continuous linear map...
متن کاملOn Topologies for Function Spaces
Given topological spaces Xt ÜT, and F and a function h from XXT to F which is continuous in x for each fixed ty there is associated with h a function h* from I t o F = F x , the space whose elements are the continuous functions from X to F. The function h* is defined as follows: h*(t)=ht, where ht(x)~h(x} t) for every x in X. The correspondence between h and h* is obviously one-to-one. Although...
متن کاملFunction Spaces and Product Topologies
Introduction IN a previous paper (4) I defined ten product topologies o n l x T . In this paper five of these products are applied to problems on function spaces. All spaces will be Hausdorff spaces. The exponential law for function spaces with the compact-open topology is discussed in § 1. The main result (Theorem 1.6) is that the spaces X and (X) are homeomorphic for all X, Y, Z (in this pape...
متن کاملGenetically Searching the Space of Network Topologies
An algorithm that learns from a set of examples should ideally be able to exploit the available resources of a abundant computing power and b domain speci c knowledge to improve its ability to generalize Connectionist theory re nement systems which use back ground knowledge to select a neural network s topology and initial weights have proven to be e ective at exploiting domain speci c knowledg...
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 American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1973-0313771-3