REPRESENTATION OF LINEAR 2-FUNCTIONALS ON lp
In this final project, we present the concept of 2-norms and 2-functionals. We define the concept of linear 2-functionals and bounded linear 2-functionals as an extension, and we also give definition of the 2-dual space. We introduce the 2-dual space of lp when lp is equipped by Gahlers 2-norm or Gu...
Saved in:
| Main Author: | |
|---|---|
| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/17655 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| id |
id-itb.:17655 |
|---|---|
| spelling |
id-itb.:176552017-09-27T14:41:43ZREPRESENTATION OF LINEAR 2-FUNCTIONALS ON lp EKA PRASETYA PANGALELA (NIM : 20111042), YOSAFAT Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/17655 In this final project, we present the concept of 2-norms and 2-functionals. We define the concept of linear 2-functionals and bounded linear 2-functionals as an extension, and we also give definition of the 2-dual space. We introduce the 2-dual space of lp when lp is equipped by Gahlers 2-norm or Gunawans 2-norm, and relation between them. We give the example of 2-norms defined by bounded linear 2-functionals and their equivalence with Gahler 2-norm in the lp space. Furthermore, we give the generalization of all result for n-norms briely. text |
| institution |
Institut Teknologi Bandung |
| building |
Institut Teknologi Bandung Library |
| continent |
Asia |
| country |
Indonesia Indonesia |
| content_provider |
Institut Teknologi Bandung |
| collection |
Digital ITB |
| language |
Indonesia |
| description |
In this final project, we present the concept of 2-norms and 2-functionals. We define the concept of linear 2-functionals and bounded linear 2-functionals as an extension, and we also give definition of the 2-dual space. We introduce the 2-dual space of lp when lp is equipped by Gahlers 2-norm or Gunawans 2-norm, and relation between them. We give the example of 2-norms defined by bounded linear 2-functionals and their equivalence with Gahler 2-norm in the lp space. Furthermore, we give the generalization of all result for n-norms briely. |
| format |
Theses |
| author |
EKA PRASETYA PANGALELA (NIM : 20111042), YOSAFAT |
| spellingShingle |
EKA PRASETYA PANGALELA (NIM : 20111042), YOSAFAT REPRESENTATION OF LINEAR 2-FUNCTIONALS ON lp |
| author_facet |
EKA PRASETYA PANGALELA (NIM : 20111042), YOSAFAT |
| author_sort |
EKA PRASETYA PANGALELA (NIM : 20111042), YOSAFAT |
| title |
REPRESENTATION OF LINEAR 2-FUNCTIONALS ON lp |
| title_short |
REPRESENTATION OF LINEAR 2-FUNCTIONALS ON lp |
| title_full |
REPRESENTATION OF LINEAR 2-FUNCTIONALS ON lp |
| title_fullStr |
REPRESENTATION OF LINEAR 2-FUNCTIONALS ON lp |
| title_full_unstemmed |
REPRESENTATION OF LINEAR 2-FUNCTIONALS ON lp |
| title_sort |
representation of linear 2-functionals on lp |
| url |
https://digilib.itb.ac.id/gdl/view/17655 |
| _version_ |
1822018430269652992 |