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981.
In this paper, we establish sufficient optimality conditions for D.C. vector optimization problems. We also give an application to vector fractional mathematical programming in a ordred separable Hilbert space. 相似文献
982.
Victor Shulman 《Journal of Functional Analysis》2004,209(2):293-331
The interplay between the invariant subspace theory and spectral synthesis for locally compact abelian group discovered by Arveson (Ann. of Math. (2) 100 (1974) 433) is extended to include other topics as harmonic analysis for Varopoulos algebras and approximation by projection-valued measures. We propose a “coordinate” approach which nevertheless does not use the technique of pseudo-integral operators, as well as a coordinate free one which allows to extend to non-separable spaces some important results and constructions of Arveson. We solve some problems posed in Arveson (1974). 相似文献
983.
Noncommutative associative algebras are constructed which have the structure of module algebras over tensor products of pairs of quantized universal enveloping algebras. These module algebras decompose into multiplicity free direct sums of irreducible modules, yielding quantum analogues of generalized Howe dualities. 相似文献
984.
985.
I. A. Panin 《K-Theory》1994,8(6):541-585
The algebraicK-groups of projective homogeneous varieties are computed. The answer is given in terms ofK-groups of a semisimple algebra canonically associated with the variety. Our results generalize a result of Quillen and a result of Swan, whereK-groups of Severi-Brauer varieties and of smooth projective quadratic hypersurfaces were computed. 相似文献
986.
987.
Noor Mohammad 《Periodica Mathematica Hungarica》1996,32(3):209-212
It is shown that if the maximal ideal space (A) of a semisimple commutative complete metrizable locally convex algebra contains no isolated points, then every compact multiplies is trivial. In particular, compact multipliers on semisimple commutative Fréchet algebras whose maximal ideal space has no isolated points are identically zero. 相似文献
988.
W. Michael Dickson 《Foundations of Physics Letters》1995,8(5):401-415
A certain substructure of the lattice of projections on a Hilbert space is defined, and it is shown under what conditions such a structure can be said to have a classical model (in a sense made precise). The results have implications for the interpretation of quantum mechanics. 相似文献
989.
Total extensions of effect algebras 总被引:1,自引:0,他引:1
Stanley Gudder 《Foundations of Physics Letters》1995,8(3):243-252
It is shown that if the natural order on a total extension of an effect algebra coincides with the order on, then is unique. The structure of is called a QI-algebra. It is shown that a QI-algebra is less general than a QMV-algebra, but that a QI-algebra is equivalent to a quasi-linear QMV-algebra. Some examples are given and the properties of these structures are studied. 相似文献
990.
W. Michael Dickson 《Foundations of Physics Letters》1995,8(3):231-242
It is possible to define, for any quantum system, an algebra of definite-valued events—those events that are definitely occurrent or non-occurrent. It is shown that two different sets of constraints on the algebra of definite-valued events are each equivalent to the definition of that set as a certain pseudo-Boolean algebra. 相似文献