Almost Surjective Epsilon-Isometry in The Reflexive Banach Spaces
In this paper, we will discuss some applications of almost surjective epsilon-isometry mapping, one of them is in Lorentz space ( L_(p,q)-space). Furthermore, using some classical theorems of w star-topology and concept of closed subspace -complemented, for every almost surjective epsilon-isometry m...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mathematics Department UIN Maulana Malik Ibrahim Malang
2017-05-01
|
| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4100 |
| Summary: | In this paper, we will discuss some applications of almost surjective epsilon-isometry mapping, one of them is in Lorentz space ( L_(p,q)-space). Furthermore, using some classical theorems of w star-topology and concept of closed subspace -complemented, for every almost surjective epsilon-isometry mapping f : X to Y, where Y is a reflexive Banach space, then there exists a bounded linear operator T : Y to X with such that
for every x in X. |
|---|---|
| ISSN: | 2086-0382 2477-3344 |