New results on K-frames

Author(s):  
R. Rezapour

In this paper, we introduce some new [Formula: see text]-frames related to the adjoint of a [Formula: see text]-frame and sum of two [Formula: see text]-frames in Hilbert spaces. We prove that adjoint of a normal [Formula: see text]-frame is also a [Formula: see text]-frame.

1956 ◽  
Author(s):  
J. Donald Harris ◽  
Henry L. Haines ◽  
Cecil K. Myers
Keyword(s):  

2008 ◽  
Vol 68 (S 01) ◽  
Author(s):  
NC Hart ◽  
J Siemer ◽  
B Meurer ◽  
TW Goecke ◽  
RL Schild

2019 ◽  
Author(s):  
Vitaly Kuyukov

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.


1998 ◽  
Vol 63 (8) ◽  
pp. 1187-1201 ◽  
Author(s):  
Jaroslav Zamastil ◽  
Lubomír Skála ◽  
Petr Pančoška ◽  
Oldřich Bílek

Using the semiclassical approach for the description of the propagation of the electromagnetic waves in optically active isotropic media we derive a new formula for the circular dichroism parameter. The theory is based on the idea of the time damped electromagnetic wave interacting with the molecules of the sample. In this theory, the Lambert-Beer law need not be taken as an empirical law, however, it follows naturally from the requirement that the electromagnetic wave obeys the Maxwell equations.


Author(s):  
D. E. Edmunds ◽  
W. D. Evans

This chapter is concerned with closable and closed operators in Hilbert spaces, especially with the special classes of symmetric, J-symmetric, accretive and sectorial operators. The Stone–von Neumann theory of extensions of symmetric operators is treated as a special case of results for compatible adjoint pairs of closed operators. Also discussed in detail is the stability of closedness and self-adjointness under perturbations. The abstract results are applied to operators defined by second-order differential expressions, and Sims’ generalization of the Weyl limit-point, limit-circle characterization for symmetric expressions to J-symmetric expressions is proved.


Author(s):  
Josefina Vidal M ◽  
Macarena García O ◽  
Pedro Álvarez C

Abstract In the second half of the 1960s, prêt-à-porter (ready-to-wear) fashion was established in Chile. As an alternative to haute couture (high fashion), prêt-à-porter brought an eagerness for modernisation that was reflected in the setting up of a network of women-led boutiques, which developed strongly between 1967 and 1973. This article first examines the precedents that allowed for the creation of a ‘local fashion system’ that promoted collective work around trades such as knitting and dressmaking. It also analyses the arrangement of a circuit of boutiques in the comuna of Providencia, a strategic sector of Santiago de Chile (the capital city) that fostered the dynamics of social gathering. Later, the article describes the profile of the designer-entrepreneurs whose work was attuned to a female consumer segment that aimed to access a new formula of the modernising bourgeoisie. It also reassesses the rise of a movement called Moda Autóctona, which distanced itself from European fashion and was supported by the government during the socialist regime of Salvador Allende. Lastly, it tackles the eventual dismantling of this network of women’s fashion stores as a result of the installation of a military dictatorship in Chile.


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