Some classes of commuting n-tuples of operators
Identity of Taylor's joint spectrum and Dash's joint spectrum
Trace formulae for p-hyponormal operators
The purpose of this paper is to introduce mosaics and principal functions of p-hyponormal operators and give a trace formula. Also we introduce p-nearly normal operators and give trace formulae for them.
Singular integral models for p-hyponormal operators and the Riemann-Hilbert problem
The purpose of this paper is to give singular integral models for p-hyponormal operators and apply them to the Riemann-Hilbert problem.
Unitary dilation for polar decompositions of p-hyponormal operators
In this paper, we introduce the angular cutting and the generalized polar symbols of a p-hyponormal operator T in the case where U of the polar decomposition T = U|T| is not unitary and study spectral properties of it.
On algebras of bounded continuous functions valued in a topological algebra
Let be a completely regular space. We denote by the locally convex algebra of all continuous functions on valued in a locally convex algebra with a unit Let be its subalgebra consisting of all bounded continuous functions and endowed with the topology given by the uniform seminorms of on It is clear that can be seen as the subalgebra of the constant functions of . We prove that if is a Q-algebra, that is, if the set of the invertible elements of is open, or a Q-álgebra with...
A remark on the slice map problem.
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