Somebody please clear my doubts:
I recently saw an article on "2-Banach Spaces." While reading it, I had few questions (may be simple ones), I just want to get clarified them. The following are the questions:
- What is the reason for introducing the concept of "2-Banach spaces" though we are already having "Banach spaces" concept? What is so peculiar in "2-Banach spaces"?
- Are there properties which hold in "2-Banach spaces" but not in "Banach spaces"?
- Can "2-Banach spaces" be generalized to "n-Banach spaces"?