Quantization of projective homogeneous spaces and duality principle

Meaned spaces and a general duality principle

We present a new duality principle, in which we do not suppose that the range of the functions that are to be optimized is a subset of a linear space. Therefore, unlike the classical optimization theory, our main result can be applied for example to functions with ranges in Heisenberg groups.

Frames and Homogeneous Spaces

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

Poincaré Duality for K-theory of Equivariant Complex Projective Spaces

We make explicit Poincaré duality for the equivariant K-theory of equivariant complex projective spaces. The case of the trivial group provides a new approach to the K-theory orientation [3].

Convolution and Homogeneous Spaces

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...