RUANG BANACH PADA RUANG BARISAN 1  , p  DAN 

  • Wahidah Alwi
    (ID)
DOI: https://doi.org/10.24252/teknosains.v8i1.1840

Abstract

The main object of the vectors are the vectors can be added
together and generate a vector, and produces a number is multiplied
by another vector. Any set of objects with properties like this are
called "vector space". Mathematical structure to be defined is a
Banach space. Clearly defined Banach space vector space of real /
complex normed and complete (with respect to the norm). Banach
space in this study examined the sequence space 1  , p  and   .
Based on the purpose of this study is to assess the Banach space
within a sequence space 1  , p  and   , it is obtained that a
sequence space 1  , p  and   form Banach space if it meets the
requirements of that sequence space 1  , p  and   is a vector
space, normed sequence space, and normed sequence space with
complete.

References

Anton, Howard. 1998. Aljabar Linear Elementer. Erlangga, Jakarta.

Bartle, G. Robert. 1982. Introduction to Real Analysis. John Wiley & Sons. Inc, New York

Berberian.K, Sterling. 1961. Introduktion to Hilbert Space. Oxpord University Press, New York

Echols, John. M dan Hassan Shadily. 1975. Kamus Inggris Indonesia. PT Gramedia Pustaka Utama, Jakarta

Klambauer, Gabriel. 1973. Real Analysis. American Elseviser Publishing Company, Inc, New York.

Maddox, I. J. 1970. Element of Functional Analisis. Cambridge at The University Press.

P. Y. Lee. Zeller Theory And Classical Sequence Spaces. National University of Singapore, Singapore.

Randolph. F, John. 1968. Basic Riil and Abstract Analisis. Academic Press, New York and London.

Rudin, Walter. 1986. Riil and Complex Analisis. Mc Graw-Hill International Edition, New York.

Sukarjono. 2000. Aljabar Linear dan Penerapannya. Universitas Negeri Yogyakarta, Yokyakarta

Published
2014-01-11
Issue
Vol. 8 No. 1 (2014): JANUARI
Section
volume 8 nomor 1 tahun 2014

This license allows authors to copy, redistribute, remix, transform, and build upon the Work, in any format or medium, for any purpose including commercial purpose, on a perpetual basis provided they credit the Work and the authors. Authors
must explain any changes that were made from the original and may not suggest the authors endorse the use. The resultant work must be made available under the same terms, and must include a link to the CC BY 4.0 International License.

Abstract viewed = 134 times