Some remarks on vector measures duality

In this note the concept of measure duality and connections of this concept to some other questions of Banach space and vector measure theories are studied.


Singular potentials and moving boundaries in 3D
Yuce, C (Elsevier BV, 2004-02-16)
In this Letter, the problem of a spinless particle under the time-dependent harmonic oscillator potential and a singular potential with a moving boundary is studied in the spherical coordinates. Some transformations are used to transform the moving boundary conditions to the fixed boundary conditions. An exact solution is constructed.
Entangled Harmonic Oscillators and Space-Time Entanglement
Başkal, Sibel; Kim, Young S.; Noz, Marilyn E. (MDPI AG, 2016-6-28)
The mathematical basis for the Gaussian entanglement is discussed in detail, as well as its implications in the internal space-time structure of relativistic extended particles. It is shown that the Gaussian entanglement shares the same set of mathematical formulas with the harmonic oscillator in the Lorentz-covariant world. It is thus possible to transfer the concept of entanglement to the Lorentz-covariant picture of the bound state, which requires both space and time separations between two constituent p...
Some exact solutions of all f(R-mu nu) theories in three dimensions
GÜRSES, METİN; Sisman, Tahsin Cagri; Tekin, Bayram (2012-07-03)
We find constant scalar curvature Type-N and Type-D solutions in all higher curvature gravity theories with actions of the form f(R-mu nu) that are built on the Ricci tensor, but not on its derivatives. In our construction, these higher derivative theories inherit some of the previously studied solutions of the cosmological topologically massive gravity and the new massive gravity field equations, once the parameters of the theories are adjusted. Besides the generic higher curvature theory, we have consider...
Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for l not equal 0 states
Berkdemir, Cueneyt; BERKDEMİR, Ayşe; Sever, Ramazan (Springer Science and Business Media LLC, 2008-03-01)
An analytically solvable Woods-Saxon potential for l not equal 0 states is presented within the framework of Supersymmetric Quantum Mechanics formalism. The shape-invariance approach and Hamiltonian hierarchy method are included in calculations by means of a translation of parameters. The approximate energy spectrum of this potential is obtained for l not equal 0 states, applying the Woods-Saxon square approximation to the centrifugal barrier term of the Schrodinger equation.
Critical points of D-dimensional extended gravities
Deser, S.; Liu, Haishan; Lue, H.; Pope, C. N.; Sisman, Tahsin Cagri; Tekin, Bayram (2011-03-17)
We study the parameter space of D-dimensional cosmological Einstein gravity together with quadratic curvature terms. In D < 4 there are in general two distinct (anti)-de Sitter vacua. We show that, for an appropriate choice of the parameters, there exists a critical point for one of the vacua, with only massless tensor, but neither massive tensor nor scalar, gravitons. At criticality, the linearized excitations have formally vanishing energy (as do black hole solutions). A further restriction of the paramet...
Citation Formats
K. Zheltukhın, “Some remarks on vector measures duality,” QUAESTIONES MATHEMATICAE, pp. 77–86, 2000, Accessed: 00, 2021. [Online]. Available: