共查询到20条相似文献,搜索用时 15 毫秒
1.
《Journal of Mathematical Analysis and Applications》2004,291(2):459-476
Strict singularity and strict co-singularity of inclusions between symmetric sequence spaces are studied. Suitable conditions are provided involving the associated fundamental functions. The special case of Lorentz and Marcinkiewicz spaces is characterized. It is also proved that if E?F are symmetric sequence spaces with E≠?1 and F≠c0 and ?∞ then there exist a intermediate symmetric sequence space G such that E?G?F and both inclusions are not strictly singular. As a consequence new characterizations of the spaces c0 and ?1 inside the class of all symmetric sequence spaces are given. 相似文献
2.
3.
J. R. Holub 《Mathematische Annalen》1971,191(4):326-332
4.
Michel Talagrand 《Israel Journal of Mathematics》2004,143(1):157-180
We construct a symmetric sequence space that is of infratype 2 but not of type 2.
Dedicated to J. Lindenstrauss.
Work partially supported by an NSF grant. 相似文献
5.
6.
Peter Quast 《Differential Geometry and its Applications》2009,27(1):1-6
Given a twistor space over a Hermitian symmetric space of compact type we construct a map onto a twistor space over another inner symmetric space of compact type. This map is holomorphic and preserves the superhorizontal distributions. We describe an application to harmonic maps. 相似文献
7.
8.
E. D. Gluskin 《Journal of Mathematical Sciences》1983,22(6):1841-1846
This paper is devoted to estimates of Banach-Mazur distances between finite-dimensional symmetric spaces. Lower and upper estimates are obtained in terms of fundamental sequences of symmetric spaces.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 113, pp. 218–224, 1981. 相似文献
9.
Jürgen Jost 《Calculus of Variations and Partial Differential Equations》1994,2(2):173-204
We show the existence of harmonic mappings with values in possibly singular and not necessarily locally compact complete metric length spaces of nonpositive curvature in the sense of Alexandrov. As a technical tool, we show that any bounded sequence in such a space has a subsequence whose mean values converge. We also give a general definition of harmonic maps between metric spaces based on mean value properties and-convergence. 相似文献
10.
We examine the symmetric basic sequences in some classes of Banach spaces with symmetric bases. We show that the Lorentz sequence
spaced(a,p) has a unique symmetric basis and every infinite dimensional subspace ofd(a,p) contains a subspace isomorphic tol
p. The symmetric basic sequences ind(a,p) are identified and a necessary and sufficient condition for a Lorents sequence space with exactly two nonequivalent symmetric
basic sequences in given. We conclude by exhibiting an example of a Lorentz sequence space having a subspace with symmetric
basis which is not isomorphic either to a Lorentz sequence space or to anl
p-space.
This is part of the first author's Ph. D. thesis, prepared at the Hebrew University of Jerusalem under the supervision of
Dr. L. Tzafriri. 相似文献
11.
We introduce a new property between the q-concavity and the lower q-estimate of a Banach lattice and we get a general method to construct maximal symmetric sequence spaces that satisfies this new property but fails to be q-concave. In particular this gives examples of spaces with the Orlicz property but without cotype 2. 相似文献
12.
Michel Talagrand 《Israel Journal of Mathematics》1994,87(1-3):181-192
We construct a symmetric sequence space that satisfies the Orlicz property but that fails to be of cotype 2.
Work partially supported by an NSF grant. 相似文献
13.
We present a theory of harmonic maps where the target is a complete geodesic space (N,d) of nonpositive curvature in the sense of A. D. Alexandrov and the domain is a measure space with a symmetric Markov kernel p on it. Our theory is a nonlinear generalization of the theory of symmetric Markov kernels and reversible Markov chains on
M. It can also be regarded as a particular case of the theory of generalized (= nonlinear) Dirichlet forms and energy minimizing
maps between singular spaces, initiated by Jost (1994) and Korevaar, Schoen (1993) and developed further by Jost (1997a),
(1998) and Sturm (1997). We investigate the discrete and continuous time heat flow generated by p and show that various properties of the linear heat flow carry over to this nonlinear heat flow. In particular, we study
harmonic maps, i.e. maps which are invariant under the heat flow. These maps are identified with the minimizers of the energy.
Received April 2, 2000 / Accepted May 9, 2000 /Published online November 9, 2000 相似文献
14.
Recently Korevaar and Schoen developed a Sobolev theory for maps from smooth (at least ) manifolds into general metric spaces by proving that the weak limit of appropriate average difference quotients is well
behaved. Here we extend this theory to functions defined over Lipschitz manifold. As an application we then prove an existence
theorem for harmonic maps from Lipschitz manifolds to NPC metric spaces.
Received December 6, 1996 / Accepted March 4, 1997 相似文献
15.
Let π be a cuspidal automorphic representation ofGL
2n
. We prove an identity between two spectral distributions onSp
2n
andGL
2n
respectively. The first is the spherical distribution with respect toSp
n×Sp
nof the residual Eisenstein series induced from π. The second is the weighted spherical distribution of π with respect toGL
n×GL
nand a certain degenerate Eisenstein series. A similar identity relates the pair (U
2n
,Sp
n) and (GL
n/E,GL
n/F) whereE/F is the quadratic extension defining the quasi-split unitary groupU
2n
. We also have a Whittaker version of these trace identities.
First-named author partially supported by NSF grant DMS 0070611.
Second-named author partially supported by NSF grant DMS 9970342. 相似文献
16.
Nicole Tomczak-Jaegermann 《Israel Journal of Mathematics》1983,46(1-2):40-66
We show that the Banach-Mazur distance betweenN-dimensional symmetric spacesE andF satisfies
, wherec is a numerical constant. IfE is a symmetric space, then
max (M
(2)(E),M
(2)(E)), whereM
(2)(E) (resp.M
(2)(E)) denotes the 2-convexity (resp. the 2-concavity) constant ofE. We also give an example of a spaceF with an 1-unconditional basis and enough symmetries that satisfiesd(F, l
2
dimF
)=M
(2)(F)M
(2)(F).
Partially supported by NSF Grant MCS-8201044. 相似文献
17.
Decomposable mappings from the space of symmetric k-fold tensors over E, , to the space of k-fold tensors over F, , are those linear operators which map nonzero decomposable elements to nonzero decomposable elements. We prove that any decomposable
mapping is induced by an injective linear operator between the spaces on which the tensors are defined. Moreover, if the decomposable
mapping belongs to a given operator ideal, then so does its inducing operator. This result allows us to classify injective
linear operators between spaces of homogeneous approximable polynomials and between spaces of nuclear polynomials which map
rank-1 polynomials to rank-1 polynomials. 相似文献
18.
Dietrich Notbohm 《Israel Journal of Mathematics》1994,87(1-3):243-256
For homomorphisms between groups, one can divide out the kernel to get an injection. Here, we develop a notion of kernels
for maps between classifying spaces of compact Lie groups. We show that the kernel is a normal subgroup in a modified sense
and prove a generalization of a theorem of Quillen, namely, a mapf:BG→BH
p
∧
is injective, iff the induced map in mod-p cohomology is finite. Moreover, for compact connected Lie groups, every mapf:BG→BH
p
∧
factors over a quotient ofG in a modified sense and this factorisation is an injection. 相似文献
19.
Andreas Defant Mieczyslaw Mastylo Carsten Michels 《Proceedings of the American Mathematical Society》2004,132(2):513-521
Using abstract interpolation theory, we study eigenvalue distribution problems for operators on complex symmetric Banach sequence spaces. More precisely, extending two well-known results due to König on the asymptotic eigenvalue distribution of operators on -spaces, we prove an eigenvalue estimate for Riesz operators on -spaces with , which take values in a -concave symmetric Banach sequence space , as well as a dual version, and show that each operator on a -convex symmetric Banach sequence space , which takes values in a -concave symmetric Banach sequence space , is a Riesz operator with a sequence of eigenvalues that forms a multiplier from into . Examples are presented which among others show that the concavity and convexity assumptions are essential.
20.
We consider a complex symmetric sequence space E that possesses the Fatou property and is different from l2. We prove that, for every surjective linear isometry V on E, there exist λ n ∈ ? with |λ n | = 1 and a bijective mapping π on the set ? of natural numbers such that for every {ξ n {n∈? ∈ E.
相似文献
$$V\left( {\left\{ {\xi _n } \right\}_{n \in \mathbb{N}} } \right) = \left\{ {\lambda _n \xi _{\pi (n)} } \right\}_{n \in \mathbb{N}}$$