Reflections on Dubinskiĭ’s nonlinear compact embedding theorem
نویسندگان
چکیده
منابع مشابه
Reflections on Dubinskiĭ’s Nonlinear Compact Embedding Theorem
We present an overview of a result by Yulĭı Andreevich Dubinskĭı [Mat. Sb. 67 (109) (1965); translated in Amer. Math. Soc. Transl. (2) 67 (1968)], concerning the compact embedding of a seminormed set in L(0, T ;A0), where A0 is a Banach space and p ∈ [1, ∞]; we establish a variant of Dubinskĭı’s theorem, where a seminormed nonnegative cone is used instead of a seminormed set; and we explore the...
متن کاملA proof of Sobolev’s Embedding Theorem for Compact Riemannian Manifolds
Observe that H 0 (M) = L p(M). Also, Hk := H2 k is a Hilbert space under the L2-inner product. F k contains only smooth functions. In general, a sequence in F k will not converge in the H k norm to a function in F k , so we need to complete the space to have anything useful. An alternate approach would have been to start with functions in Lp rather than completing the space of smooth functions ...
متن کاملA Note on Dilworth's Embedding Theorem
The dimension of a poset X is the smallest positive integer t for which there exists an embedding of X in the cartesian product of t chains. R. P. Dilworth proved that the dimension of a distributive lattice v L = 2_ is the width of X. In this paper we derive an analogous result for embedding distributive lattices in the cartesian product of chains of bounded length. We prove that for each k > ...
متن کاملA subgaussian embedding theorem
We prove a subgaussian extension of a Gaussian result on embedding subsets of a Euclidean space into normed spaces. Using the concentration of a random subgaussian vector around its mean we obtain an isomorphic (rather than almost isometric) result, under an additional cotype assumption on the normed space considered.
متن کاملNon - Quasiconvexity Embedding Theorem
We show that if G is a non-elementary torsion-free word hyperbolic group then there exists another word hyperbolic group G, such that G is a subgroup of G but G is not quasiconvex in G.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2012
ISSN: 0350-1302,1820-7405
DOI: 10.2298/pim1205095b