共查询到20条相似文献,搜索用时 15 毫秒
1.
Thurlow A. Cook 《International Journal of Theoretical Physics》1985,24(11):1113-1131
Section 1 is a brief introduction. Section 2 contains the basic definitions of quasimanuals, weights, and operational logics. The linear spaceW of all weights on a quasimanualA is introduced and given a norm.W with this norm is seen to be a Banach space. The subspaceV ofW generated by the positive cone ofW is given the base norm and is also shown to be an Archimedian ordered Banach space with an additive norm. In Section 3 normal linear functionals onV
* are defined in analogy with normal linear functionals onw
* algebras. The spaceV is shown to be the set of normal functionals onV
* and we showV to be the unique partially ordered Banach space with a closed generating cone which is predual toV
*. Next, weakly compact subsets ofW are characterized in terms of eventwise convergence. This is the Hahn-Vitali-Saks theorem of classical measure theory in this noncommutative setting; several weak compactness results are drawn from this and compared with their classical counterparts. Section 4 introduces the ultraweak topology forV
* in analogy with the same for the trace class operators on Hubert space. Here the condition for a compact base for the cone ofV is examined and shown to be a poor and unnecessary hypothesis in many circumstances. Many connections with the existent literature are made and throughout the paper there are many examples and open questions. 相似文献
2.
Robin H. Lock 《Foundations of Physics》1990,20(5):477-498
Techniques for constructing the tensor product of two generalized sample spaces which admit unital sets of dispersion-free weights are discussed. A duality theory is developed, based on the 1-cuts of the dispersion-free weights, and used to produce a candidate for the tensor product. This construction is verified for Dacification manuals, a conjecture is given for other reflexive cases, and some adjustments for nonreflexive cases are considered. An alternate approach, using graphs of interpretation morphisms on the duals, is also presented. 相似文献
3.
Summary A method that numerically evaluates the relative influence of structural or functional constraints on the codon composition
of a gene is presented. The method applies to any constraint provided that it can be translated intoa priori probability table of codon usage. The method is very easy to apply to different constraints and to different pools of sequences.
Theoretical codon usage obtained from a linear combination of the various constraints was compared with experimental codon
frequencies of several classes of genes taxonomically homogeneous and, applying a minimization tecnique, the relative weights
of the examined constraints have been evaluated. The results show that a common strategy exists for all coding sequences even
though most of the constraints are represented by different probability tables for different pools of genes. We also demonstrate
that the method is reliable when it is applied to a single gene, so that it can also be used as a tool to predict the characteristics
of a gene from its sequence. 相似文献
4.
This paper clarifies the topology of the mapping between the v and n spaces in fermionic systems. Density manifolds corresponding to degeneracies g=1 and g>1 are shown to have the same mathematical measure: Every density near a g-ensemble-v-representable (g-VR) n(r) is also g-VR (except "boundary densities" of lower measure). The role of symmetry and the connection between T=0 and T=0(+) are discussed. A lattice model and the Be series are used as illustrations. 相似文献
5.
A. Rieckers 《International Journal of Theoretical Physics》1971,4(1):55-82
Infinite series of Wick powers of the free, massive Bose field are analysed in terms of test function spaces of typeS for arbitrary space dimension. By direct estimates of the smeared phase space integrals sufficiency conditions for the existence of the vacuum expectation values are derived. These conditions are shown to be precise. The field-operators are defined on a dense invariant domain in Fock space, where they satisfy the Wightman axioms with the possible exception of locality. Localisable and nonlocalisable fields are dealt within the same frame. The behaviour of spectral functions and the strength of singularities are discussed.This work was supported by the Deutsche Forschungsgemeinschaft.This work is part of a thesis submitted to the Naturwissenschaftlichen Fakultät der Universität München. 相似文献
6.
Anatolij Dvurečenskij 《International Journal of Theoretical Physics》1996,35(10):2093-2106
We show that a test space consisting of nonzero vectors of a quadratic spaceE and of the set all maximal orthogonal systems inE is algebraic iffE is Dacey or, equivalently, iffE is orthomodular. In addition, we present another orthomodularity criteria of quadratic spaces, and using the result of Solèr,
we show that they can imply thatE is a real, complex, or quaternionic Hilbert space. 相似文献
7.
We show that a test space consisting of the unit sphere of a real or complex inner product spaceS and of the set all maximal orthonormal systems inS, is algebraic iffS is Dacey or, equivalently, iffS is complete. In addition, we present another completeness criterion.This research is supported by the grant G-368 of the Slovak Academy of Sciences, Slovakia. 相似文献
8.
We study a general tensor product for two collections of related physical operations or observations. This is a free product, subject only to the condition that the operations in the first collection fail to have any influence on the statistics of operations in the second collection and vice versa. In the finite-dimensional case, it is shown that the vector space generated by the probability weights on the general tensor product is the algebraic tensor product of the vector spaces generated by the probability weights on the components. The relationship between the general tensor product and the tensor product of Hilbert spaces is examined in the light of this result. 相似文献
9.
The statistical weight for a n-particle system, characterized by an incomplete set of parameters, is carried out using the SU(3) symmetry model. The method to be used in order to obtain the similar quantities in the SU(6) symmetry model is also indicated. 相似文献
10.
11.
A special vector functional space is defined for a weak formulation of the diffraction problem in a cone. For this space, a number of embedding theorems are proved. It is also shown that the diffraction problem is reduced to the Fredholm equation. 相似文献
12.
Eduard Prugovečki 《Foundations of Physics》1979,9(7-8):575-587
The concept of probability space is generalized to that of stochastic probability space. This enables the introduction of representations of quantum mechanics on stochastic phase spaces. The resulting formulation of quantum statistical mechanics in terms of -distribution functions bears a remarkable resemblance to its classical counterpart. Furthermore, both classical and quantum statistical mechanics can be formulated in one and the same master Liouville space overL
2(). A joint derivation of a classical and quantum Boltzman equation provides an illustration of the practical uses of these formalisms.Supported in part by an NRC grant. 相似文献
13.
This note tries to give an answer to the following question: Is there a sufficiently rich class of metric vector spaces such that sufficiently large spaces of continuous linear maps between them are metrizable? 相似文献
14.
《Physics letters. [Part B]》1997,407(1):33-38
A simple new algorithm for the calculation of two-particle Bose-Einstein correlations from classical event generators is derived and discussed. 相似文献
15.
Spectral weights in profile listening 总被引:1,自引:0,他引:1
The COSS analysis suggested by Berg [B. G. Berg, J. Acoust. Soc. Am. 86, 1743-1746 (1989)] is applied to a profile listening task. The listener's task is to detect an increment in the level of the middle component of an n-component spectrum. The overall level of the components is randomly selected from a 20-dB range on each presentation; thus the detection task is essentially one of detecting a change in spectral shape. To implement the COSS analysis, a small perturbation in level is added to each component of the complex. COSS functions are generated from these perturbations, and the spectral weight that the listener assigns to each component is estimated. Data are reported for n = 3, 5, and 11 components and for perturbations with standard deviations of 0.5, 1, and 2 dB. The estimated weights are similar to those derived for an optimum detector; namely, the level at the signal component is compared with the average level of the nonsignal components. This result supports the view that profile analysis involves an across-channel comparison process. The pattern of weights also provides insight into differences among listeners. In a separate experiment, the spectral weights of a very poor profile listener are estimated, and the pattern of the weights suggests reasons for the inferior detection performance. 相似文献
16.
《Journal of Geometry and Physics》2002,41(3):224-234
We construct and identify star representations canonically associated with holonomy-reducible simple symplectic symmetric spaces. This leads a non-commutative geometric realization of the correspondence between causal symmetric spaces of Cayley-type and Hermitian symmetric spaces of tube-type. 相似文献
17.
This paper contains a kinematic interpretation of certain open orbits of conformal group on twistor flag spaces. In a particular case, the complexified Minkowski space IM
inf4c
supc
becomes the phase space of massive scalar conformal particle.This research has been supported by M. Skodowska-Curie Found.,-Grant No. OIP 74-01416. 相似文献
18.
W. Guz 《Foundations of Physics》1984,14(9):821-848
This paper is devoted to the study of the notion of the phase-space representation of quantum theory in both the nonrelativisitic and the relativisitic cases. Then, as a derived concept, the stochastic phase space is introduced and its connections with fuzzy set theory and probabilistic topological (in particular, metric) spaces are discussed.Supported by NSERC Grant No. A5206.On leave of absence from the Theoretical Physics Institute, University of Gdask, 80-952 Gdask, Poland. 相似文献
19.
The COSS analysis [B. G. Berg, J. Acoust. Soc. Am. 86, 1743-1746 (1989)] was used to estimate spectral and temporal weights of a three-component, amplitude-modulated stimulus in a spectral-shape discrimination task. In all experiments, the task of the observer was to detect an increment in the level of the center component. A spectral-temporal weight quantifies the relative influence of a spectral component on the decisions of an observer during a specified segment of the total stimulus duration. In the first two experiments, the signal was added to all three temporal segments of the center component. The ideal weights for each component should be the same across temporal segments. Spectral-temporal weights were obtained for four conditions with different stimulus durations. In general, the estimated weights for each component were not equal at different temporal segments. In the third experiment, the signal was added to only one of three segments of the center component. Ideally, weight patterns should have changed when the temporal position of the signal segment was altered. Two stimulus durations, 300 and 15 ms, were used. For the 300-ms condition, the signal was added to only the end segment, and for all three observers the weight patterns are different from that obtained in experiment 1 with the signal added to all segments. For the 15-ms conditions, altering the signal position changed the estimated weights for only one observer. 相似文献
20.
John R. Porter 《General Relativity and Gravitation》1981,13(5):509-516
A one-parameter family of type-N left-flat spaces is given and the parameterized family of totally null two-surfaces is used to generate a good-cut function which is of the Sparling class. Generalizations are then presented. 相似文献