共查询到20条相似文献,搜索用时 375 毫秒
1.
Natasha Dobrinen 《Proceedings of the American Mathematical Society》2003,131(1):309-318
The games and are played by two players in -complete and max -complete Boolean algebras, respectively. For cardinals such that or , the -distributive law holds in a Boolean algebra iff Player 1 does not have a winning strategy in . Furthermore, for all cardinals , the -distributive law holds in iff Player 1 does not have a winning strategy in . More generally, for cardinals such that , the -distributive law holds in iff Player 1 does not have a winning strategy in . For regular and , implies the existence of a Suslin algebra in which is undetermined.
2.
Janko Marovt 《Proceedings of the American Mathematical Society》2006,134(4):1065-1075
Let be a compact Hausdorff space which satisfies the first axiom of countability, let and let , be the set of all continuous functions from to If , ,is a bijective multiplicative map, then there exist a homeomorphism and a continuous map such that for all and for all
3.
Hermann Render 《Proceedings of the American Mathematical Society》1999,127(5):1409-1411
It is shown that the space of all regular maximal ideals in the Banach algebra with respect to the Hadamard product is isomorphic to The multiplicative functionals are exactly the evaluations at the -th Taylor coefficient. It is a consequence that for a given function in and for a function holomorphic in a neighborhood of with and for all the function is in
4.
In this note, the boundedness of the Cesàro operator on mixed norm space , , is proved.
5.
Philippe Caldero 《Proceedings of the American Mathematical Society》2000,128(4):943-951
Let be a complex not a root of unity and be a semi-simple Lie -algebra. Let be the quantized enveloping algebra of Drinfeld and Jimbo, be its triangular decomposition, and the associated quantum group. We describe explicitly and as a quantum Weyl field. We use for this a quantum analogue of the Taylor lemma.
6.
Sandy Grabiner 《Proceedings of the American Mathematical Society》2004,132(6):1675-1684
Suppose that is a weighted convolution algebra on with the weight normalized so that the corresponding space of measures is the dual space of the space of continuous functions. Suppose that is a continuous nonzero homomorphism, where is also a convolution algebra. If is norm dense in , we show that is (relatively) weak dense in , and we identify the norm closure of with the convergence set for a particular semigroup. When is weak continuous it is enough for to be weak dense in . We also give sufficient conditions and characterizations of weak continuity of . In addition, we show that, for all nonzero in , the sequence converges weak to 0. When is regulated, converges to 0 in norm.
7.
Let denote the unitriangular group of degree over the finite field with elements. In a previous paper we obtained a decomposition of the regular character of as an orthogonal sum of basic characters. In this paper, we study the irreducible constituents of an arbitrary basic character of . We prove that is induced from a linear character of an algebra subgroup of , and we use the Hecke algebra associated with this linear character to describe the irreducible constituents of as characters induced from an algebra subgroup of . Finally, we identify a special irreducible constituent of , which is also induced from a linear character of an algebra subgroup. In particular, we extend a previous result (proved under the assumption where is the characteristic of the field) that gives a necessary and sufficient condition for to have a unique irreducible constituent.
8.
Rauno Aulaskari Hasi Wulan Ruhan Zhao 《Proceedings of the American Mathematical Society》2000,128(8):2329-2335
For let be the Möbius transformation defined by , and let be the Green's function of the unit disk . We construct an analytic function belonging to for all , , but not belonging to meromorphic in and for any , . This gives a clear difference as compared to the analytic case where the corresponding function spaces ( and ) are same.
9.
Djalil Kateb 《Proceedings of the American Mathematical Society》2000,128(3):735-743
Soient , et trois réels tels que , , et et soit une fonction appartenant à l'espace de Besov . Nous montrons que si est une fonction, de la variable réelle, nulle à l'origine, lipschitzienne et appartenant à l'espace on a alors . La preuve est essentiellement basée sur des résultats d'approximation par des fonctions splines de degré .
10.
Tejinder Neelon 《Proceedings of the American Mathematical Society》1999,127(7):2099-2104
It is well known that a function whose restriction to every line in is real analytic must itself be real analytic. In this note we study whether this property of real analytic functions is also possessed by some other subclasses of functions. We prove that if is ultradifferentiable corresponding to a sequence on every line in some `uniform way', then is ultradifferentiable corresponding to the sequence
11.
Elena Cordero Karlheinz Grö chenig 《Proceedings of the American Mathematical Society》2005,133(12):3573-3579
We study time-frequency localization operators of the form , where is the symbol of the operator and are the analysis and synthesis windows, respectively. It is shown in an earlier paper by the authors that a sufficient condition for , the Schatten class of order , is that belongs to the modulation space and the window functions to the modulation space . Here we prove a partial converse: if for every pair of window functions with a uniform norm estimate, then the corresponding symbol must belong to the modulation space . In this sense, modulation spaces are optimal for the study of localization operators. The main ingredients in our proofs are frame theory and Gabor frames. For and , we recapture earlier results, which were obtained by different methods.
12.
Hannes Luiro 《Proceedings of the American Mathematical Society》2007,135(1):243-251
We establish the continuity of the Hardy-Littlewood maximal operator on Sobolev spaces , . As an auxiliary tool we prove an explicit formula for the derivative of the maximal function.
13.
Jingbo Xia 《Proceedings of the American Mathematical Society》2003,131(8):2505-2514
For an analytic function which maps the open unit disc to itself, let be the operator of composition with on the Bergman space . It has been a longstanding problem to determine whether or not the membership of in the Schatten class , , is equivalent to the condition that the function has a finite integral with respect to the Möbius-invariant measure on . We show that the answer is negative when .
14.
Let be a smooth exterior domain in and . We prove that when , Hardy's inequality is valid on .
15.
Gajath Gunatillake 《Proceedings of the American Mathematical Society》2007,135(2):461-467
For analytic in the open unit disk and an analytic map from the unit disk into itself, the weighted composition operator is the operator on the weighted Hardy space given by This paper discusses the spectrum of when it is compact on a certain class of weighted Hardy spaces and when the composition map has a fixed point inside the open unit disk.
16.
Vadim Kostrykin Konstantin A. Makarov Alexander K. Motovilov 《Proceedings of the American Mathematical Society》2003,131(11):3469-3476
We discuss the problem of perturbation of spectral subspaces for linear self-adjoint operators on a separable Hilbert space. Let and be bounded self-adjoint operators. Assume that the spectrum of consists of two disjoint parts and such that 0$">. We show that the norm of the difference of the spectral projections
for and is less than one whenever either (i) or (ii) and certain assumptions on the mutual disposition of the sets and are satisfied.
for and is less than one whenever either (i) or (ii) and certain assumptions on the mutual disposition of the sets and are satisfied.
17.
Matthias Hieber Sylvie Monniaux 《Proceedings of the American Mathematical Society》2000,128(4):1047-1053
In this paper, we show that a pseudo-differential operator associated to a symbol ( being a Hilbert space) which admits a holomorphic extension to a suitable sector of acts as a bounded operator on . By showing that maximal -regularity for the non-autonomous parabolic equation is independent of , we obtain as a consequence a maximal -regularity result for solutions of the above equation.
18.
We prove an interpolation type inequality between , and spaces and use it to establish the local Hölder continuity of the inverse of the -Laplace operator: , for any and in a bounded set in .
19.
Denis A. Labutin 《Proceedings of the American Mathematical Society》2000,128(11):3399-3403
For an arbitrary open set we characterize all functions on the real line such that for all . New element in the proof is based on Maz'ya's capacitary criterion for the imbedding . 相似文献
20.
Roberto Raimondo 《Proceedings of the American Mathematical Society》2001,129(3):739-747
If is a smoothly bounded multiply-connected domain in the complex plane and where we show that is compact if and only if its Berezin transform vanishes at the boundary.