Research Article

Some Results on the $p$-Weak Approximation Property in Banach Spaces

Volume: 5 Number: 4 December 1, 2022
EN

Some Results on the $p$-Weak Approximation Property in Banach Spaces

Abstract

In this study, some existing results dealing with the weak approximation property of Banach spaces are considered for the $p$-weak approximation property. Also, an observation on the bounded weak approximation and the $p$-bounded weak approximation properties is given. Moreover, the proof of the solution of the duality problem for the $p$-weak approximation property which exists in the literature is given in a shorter way as an alternative.

Keywords

References

  1. [1] S. Banach, Th´eorie Des Op´erations Lin´eaires, Monogr. Mat., Warsaw, 1932.
  2. [2] A. Grothendieck, Produits tensoriels topologiques et espaces nucl´eaires, Mem. Amer. Math. Soc., 16 (1955). (French)
  3. [3] P. G. Casazza, Approximation Properties, in: W. B. Johnson, J. Lindenstrauss (Eds.), Handbook of the Geometry of Banach Spaces, Elsevier, Amsterdam, 1 (2001), 271-316.
  4. [4] C. Choi, J. M. Kim, Weak and quasi approximation properties in Banach Spaces, J. Math. Anal. Appl., 316(2) (2006), 722-735.
  5. [5] C. Choi, J. M. Kim, On dual and three space problems for the compact approximation property, J. Math. Anal. Appl., 323(1) (2006), 78-87.
  6. [6] J. M. Kim, On relations between weak approximation properties and their inheritances to subspaces, J. Math. Anal. Appl., 324(1) (2006), 721-727.
  7. [7] C. Choi, J. M. Kim, K. Y. Lee, Right and left weak approximation properties in Banach spaces, Canad. Math. Bull., 52(1) (2009), 28-38.
  8. [8] J. M. Kim, K. Y. Lee, Weak approximation properties of subspaces, Banach J. Math. Anal., 9(2) (2015), 248-252.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 1, 2022

Submission Date

April 7, 2022

Acceptance Date

October 3, 2022

Published in Issue

Year 2022 Volume: 5 Number: 4

APA
Keten Çopur, A., & Satar, A. (2022). Some Results on the $p$-Weak Approximation Property in Banach Spaces. Fundamental Journal of Mathematics and Applications, 5(4), 234-239. https://doi.org/10.33401/fujma.1099840
AMA
1.Keten Çopur A, Satar A. Some Results on the $p$-Weak Approximation Property in Banach Spaces. Fundam. J. Math. Appl. 2022;5(4):234-239. doi:10.33401/fujma.1099840
Chicago
Keten Çopur, Ayşegül, and Adalet Satar. 2022. “Some Results on the $p$-Weak Approximation Property in Banach Spaces”. Fundamental Journal of Mathematics and Applications 5 (4): 234-39. https://doi.org/10.33401/fujma.1099840.
EndNote
Keten Çopur A, Satar A (December 1, 2022) Some Results on the $p$-Weak Approximation Property in Banach Spaces. Fundamental Journal of Mathematics and Applications 5 4 234–239.
IEEE
[1]A. Keten Çopur and A. Satar, “Some Results on the $p$-Weak Approximation Property in Banach Spaces”, Fundam. J. Math. Appl., vol. 5, no. 4, pp. 234–239, Dec. 2022, doi: 10.33401/fujma.1099840.
ISNAD
Keten Çopur, Ayşegül - Satar, Adalet. “Some Results on the $p$-Weak Approximation Property in Banach Spaces”. Fundamental Journal of Mathematics and Applications 5/4 (December 1, 2022): 234-239. https://doi.org/10.33401/fujma.1099840.
JAMA
1.Keten Çopur A, Satar A. Some Results on the $p$-Weak Approximation Property in Banach Spaces. Fundam. J. Math. Appl. 2022;5:234–239.
MLA
Keten Çopur, Ayşegül, and Adalet Satar. “Some Results on the $p$-Weak Approximation Property in Banach Spaces”. Fundamental Journal of Mathematics and Applications, vol. 5, no. 4, Dec. 2022, pp. 234-9, doi:10.33401/fujma.1099840.
Vancouver
1.Ayşegül Keten Çopur, Adalet Satar. Some Results on the $p$-Weak Approximation Property in Banach Spaces. Fundam. J. Math. Appl. 2022 Dec. 1;5(4):234-9. doi:10.33401/fujma.1099840

Cited By

download?token=eyJhdXRoX3JvbGVzIjpbXSwiZW5kcG9pbnQiOiJqb3VybmFsIiwib3JpZ2luYWxuYW1lIjoiQWJzdHJhY3QgR3JhbmQgT3BlbmluZyBBbm5vdW5jZW1lbnQgRnJlZSBJbnN0YWdyYW0gUG9zdCAoMSkucG5nIiwicGF0aCI6IjdjNmYvZWY3NC85ZDMwLzY5Y2U0NjNiMTI0YWUxLjI4OTYzMDEwLnBuZyIsImV4cCI6MTc3NTEyOTY3NSwibm9uY2UiOiJjY2JlNDg0NTg1ZjM5NDhiNjc5OTBiMTQyZGQ1NGJkZiJ9.32mL-W4AxKl9vkmOiZKzTdBUXRMtp2xLb0bNUYSQ61w       download?token=eyJhdXRoX3JvbGVzIjpbXSwiZW5kcG9pbnQiOiJqb3VybmFsIiwib3JpZ2luYWxuYW1lIjoiQWJzdHJhY3QgR3JhbmQgT3BlbmluZyBBbm5vdW5jZW1lbnQgRnJlZSBJbnN0YWdyYW0gUG9zdCAoMSkucG5nIiwicGF0aCI6ImI1ODYvMjQ0My9jMWViLzY5ZDYyYjAwODY1YzUwLjg2OTE5ODk1LnBuZyIsImV4cCI6MTc3NTY0Njk5Miwibm9uY2UiOiIwY2Y4NDNkN2IzYTBmOWZjNmM3YjJjOTM5MDFlODcwZiJ9.CF8E27Ea4s80p4hO_2OZg23PRrjTZehq_uGq5OpcHg8

35258

Creative Commons License

The published articles in Fundamental Journal of Mathematics and Applications are licensed under a

Creative Commons Attribution-NonCommercial 4.0 International License


28893   28892   28894   28895   28896   28897