Atomic spaces and spectra
نویسندگان
چکیده
منابع مشابه
- Atomic Spectra Atomic Structure
T HE present edition of this work contains a number of corrections and additions; Birge's new set of fundamental constants has been adopted throughout, and various tables, especially the table of ionization potentials, have been brought up to date. The author is indebted to Professor J. W. Ellis of the University of California at Los Angeles for a list of errors and corrections ; several of the...
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An atomic decomposition is considered in Banach space. A method for constructing an atomic decomposition of Banach space, starting with atomic decomposition of subspaces is presented. Some relations between them are established. The proposed method is used in the study of the frame properties of systems of eigenfunctions and associated functions of discontinuous differential operators.
متن کاملSpectra of atomic theories
For a countable structure B, the spectrum is the set of Turing degrees of isomorphic copies of B. For complete elementary first order theory T , the spectrum is the set of Turing degrees of models of T . We answer a question from [1], showing that there is an atomic theory T whose spectrum does not match the spectrum of any structure.
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In this paper, we introduce the concept of family of local atoms in a 2-inner product space and then this concept is generalized to an atomic system. Besides, a characterization of an atomic system lead to obtain a new frame. Actually this frame is a generalization of previous works.
متن کاملGo-spaces and Noetherian Spectra
The Noetherian type of a space is the least κ for which the space has a κop-like base, i.e., a base in which no element has κ-many supersets. We prove some results about Noetherian types of (generalized) ordered spaces and products thereof. For example: the density of a product of not-too-many compact linear orders never exceeds its Noetherian type, with equality possible only for singular Noet...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1989
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500004715