Isometries on Banach Spaces: function spaces

By R. Fleming, J. Jamison. 2002

306 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/51b50382254542e609a699572ba68d1d67f4c4cc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Osamu Hatori
2. P. vSemrl
3. G. Geh'er
4. Lajos Molnár
5. Yuval Peres
6. Assaf Naor
7. Michiya Mori
8. N. V. Rao

In Mathematical Physics

1. Yuval Peres
2. Assaf Naor
3. P. vSemrl
4. G. Geh'er
5. Lajos Molnár
6. Osamu Hatori
7. Pablo Shmerkin
8. Michiya Mori

Citations in the corpus

• Isometries of Grassmann spaces (2015, result): “We refer to [5, 6] for more results in this direction.”
• Lp compression, traveling salesmen, and stable walks (2009, background): “If Lp(μ,F∞) = lp then by Lamperti’s theorem [39] (see also Chapter 3 in [28]) for every x ∈ G, sinceπ0(x) is a linear isometric automorphism of lp (and p , 2) we haveπ0(x)ei = θx i eτx(i) for all i ∈ N, where{ei}i=1 is the standard coordinate basis of lp, the functionτx : N → N is one-to-one and ont”
• Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras (2014, methodology): “For an excellent comprehensive treatment of related results we refer to the two volume set [5, 6].”