Journal ArticleDOI
On the representation of the joint spectrum for a commutingn-tuple of non-normal operators
Chen Xiaoman,Huang Chaocheng +1 more
TLDR
The main purpose of as mentioned in this paper is to describe the Taylor joint spectra forn-tuples of double commuting hyponormal operators, and to study the representation of the joint Spectra in terms of that of n-tuple of commuting normal operators.Abstract:
The main purpose of the present paper is to describe the Taylor joint spectra forn-tuples of double commuting hyponormal operators, and to study the representation of the joint spectra in terms of that ofn-tuples of commuting normal operators.read more
Citations
More filters
Journal ArticleDOI
A Putnam area inequality for the spectrum of n -tuples of p -hyponormal operators
TL;DR: In this article, the authors prove an analogue of the Putnam area inequality for the spectrum of a single $p$-hyponormal operator, which is called the $n$-tuple analogue.
Book ChapterDOI
Advance of Operator Theory in Fudan University
Shaokuan Li,Xiaoman Chen +1 more
TL;DR: This work discusses problems in some special classes of operators to determine the structure of an operator or to give a concrete model of a class of operators.
References
More filters
Journal ArticleDOI
Approximate proper vectors
TL;DR: In this paper, the inner product of vectors x and y in a Hilbert space 3C is denoted (x, y), and an operator in KC is a continuous linear mapping T: SC->3C. The spectrum of an operator T, denoted s(T), is the set of all complex numbers y such that T-,uI has no inverse.
Journal ArticleDOI
Fredholm and invertible -tuples of operators. The deformation problem
TL;DR: In this paper, the authors considered the class of almost doubly commuting Fredholm pairs with a semi-Fredholm coordinate and obtained a characterization of joint invertibility in terms of a single operator and studied the main examples at length.
Journal ArticleDOI
Selfcommutators of multicyclic hyponormal operators are always trace class
C. A. Berger,B. I. Shaw +1 more
TL;DR: In this paper, the authors outline a circle of ideas culminating in the following result: the operator A is said to be rc-multicyclic if there are n vectors gl9..., gn e H, called generating vectors, such that {r(A)gi:r e R(sp(A)), 1 ^ i ^ n) has span dense in H.
Journal ArticleDOI
On the semi-hyponormal n-tuple of operators
Daoxing Xia,Daoxing Xia +1 more
TL;DR: In this paper, the theory of singular integral model and trace formula is extended to the context of hyponormal or semi-hyponormal n-tuple of operators, and the spectrum of non-commutative n-to-1 operators is examined.