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Local uniform convexity and Kadec‐Klee type properties in K‐interpolation spaces I: General Theory
Journal of Function Spaces, Volume 2, Issue 2, Page 125-173, 2004., 2004 We present a systematic study of the interpolation of local uniform convexity and Kadec‐Klee type properties in K‐interpolation spaces. Using properties of the K‐functional of J.Peetre, our approach is based on a detailed analysis of properties of a Banach couple and properties of a K‐interpolation functional which guarantee that a given K ...
Peter G. Dodds +4 more
wiley +1 more source
The Hadamard‐Schwarz inequality
Journal of Function Spaces, Volume 2, Issue 2, Page 191-215, 2004., 2004 Given α1, …, αk arbitrary exterior forms in Rn of degree l1, …, lk, does it follow that |α1∧⋯∧αk| ≤ |α1| ⋯ |αk| The answer is no in general. However, it is a persistent, popular and even published misconception that the answer is yes. Of course, a routine calculation reveals that there exists at least a constant Cn independent of the forms satisfying ...
Tadeusz Iwaniec +4 more
wiley +1 more source
New formulas concerning Laplace transforms of quadratic forms for general Gaussian sequences
International Journal of Stochastic Analysis, Volume 15, Issue 4, Page 309-325, 2002., 2002 Various methods to derive new formulas for the Laplace transforms of some quadratic forms of Gaussian sequences are discussed. In the general setting, an approach based on the resolution of an appropriate auxiliary filtering problem is developed; it leads to a formula in terms of the solutions of Volterra‐type recursions describing characteristics of ...
M. L. Kleptsyna, A. Le Breton, M. Viot
wiley +1 more source
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