On the Commutability between Hyperspaces and Subspaces
نویسندگان
چکیده
We study the problem of when the hyperspace CL(A) of a subspace A of a space X is canonically representable as a subspace of the hyperspace CL(X), where both CL(A) and CL(X) are endowed with one of the following hypertopologies: Fell, Wijsman, d-proximal, Hausdorff, locally finite, proximal
منابع مشابه
Wijsman Hyperspaces: Subspaces and Embeddings
In this paper, topological properties of Wijsman hyperspaces are investigated. We study the existence of isolated points in Wijsman hyperspaces. We show that every Tychonoff space can be embedded as a closed subspace in the Wijsman hyperspace of a complete metric space which is locally R.
متن کاملFuzzy Inner Product and Fuzzy Norm \of Hyperspaces
We introduce and study fuzzy (co-)inner product and fuzzy(co-)norm of hyperspaces. In this regard by considering the notionof hyperspaces, as a generalization of vector spaces, first we willintroduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formulate the notions offuzzy (co-)norm and fuzzy (co-)orthogonality in hyperspaces. Inparticular, we will prove that ...
متن کاملOn the relations between the point spectrum of A and invertibility of I + f(A)B
Let A be a bounded linear operator on a Banach space X. We investigate the conditions of existing rank-one operator B such that I+f(A)B is invertible for every analytic function f on sigma(A). Also we compare the invariant subspaces of f(A)B and B. This work is motivated by an operator method on the Banach space ell^2 for solving some PDEs which is extended to general operator space under some ...
متن کاملMaximal prehomogeneous subspaces on classical groups
Suppose $G$ is a split connected reductive orthogonal or symplectic group over an infinite field $F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is the Lie algebra of the unipotent radical $N.$ Under the adjoint action of its stabilizer in $M,$ every maximal prehomogeneous subspaces of $frak{n}$ is determined.
متن کاملInteractive Spaces Towards Collaborative Structuring and Ubiquitous Presentation in Domestic Environments
This paper analyses the use of media and material in private homes based on empirical studies in a project on designing interactive domestic environments. Based on the analyses we propose a Domestic Hypermedia infrastructure (DoHM) combining spatial, context-aware and physical hypermedia to support collaborative structuring and ubiquitous presentation of materials in private homes. With DoHM we...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002