Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.
On diagonalizable operators in Minkowski spaces with the Lipschitz property
✍ Scribed by Zsolt Lángi
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 162 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Let __S__\* (__f__ be the majorant function of the partial sums of the trigonometric Fourier series of __f.__ In this paper we consider the Orlicz space __L__π and give a generalization of Soria's result [S1]. Let π (t) be a concave function with some nice properties and . If there exi
Let R"+ ={([,, . . . , tn)€R": CnsO}. We denote by P the orthogonal projection from L2(Rn) onto L,(R:). By P is denoted the FOURIER transformation in L3( Rn) : Pi([) = J f ( z ) e-z(z\*t)dz . ## Rn We consider the pseudodifferential operator A = PF-IuF acting in the space L,(R'L,), where the sym