IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-0-8176-4998-2_1.html
   My bibliography  Save this book chapter

Set-Theoretic Structures

In: The Elements of Operator Theory

Author

Listed:
  • Carlos S. Kubrusly

    (Catholic University of Rio de Janeiro, Electrical Engineering Department)

Abstract

The purpose of this chapter is to present a brief review of some basic settheoretic concepts that will be needed in the sequel. By basic concepts we mean standard notation and terminology, and a few essential results that will be required in later chapters.We assume the reader is familiar with the notion of set and elements (or members, or points) of a set, as well as with the basic set operations. It is convenient to reserve certain symbols for certain sets, especially for the basic number systems. The set of all nonnegative integers will be denoted by $$\mathbb{N}_0$$ , the set of all positive integers (i.e., the set of all natural numbers) by $$\mathbb{N}$$ , and the set of all integers by $$\mathbb{Z}$$ . The set of all rational numbers will be denoted by $$\mathbb{Q}$$ , the set of all real numbers (or the real line) by $$\mathbb{R}$$ , and the set of all complex numbers by $$\mathbb{C}$$ .

Suggested Citation

  • Carlos S. Kubrusly, 2011. "Set-Theoretic Structures," Springer Books, in: The Elements of Operator Theory, chapter 1, pages 1-36, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4998-2_1
    DOI: 10.1007/978-0-8176-4998-2_1
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-0-8176-4998-2_1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.