In this paper, the similarity invariant and the upper semi-continuity of spherical spectrum, and the spherical spectrum properties for infinite direct sums of quaternionic operators are characterized, respectively. As an application of some results established, a concrete example about the computation of the spherical spectrum of a compact quaternionic operator with form of infinite direct sums of quaternionic matrices is also given
Let H be a right quaternionic Hilbert space and let T be a quaternionic normal operator with domain ...
Triangular operators are an essential tool in the study of nonselfadjoint operators that appear in d...
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity o...
In this paper, the similarity invariant and the upper semi-continuity of spherical spectrum, and the...
In this thesis, we concentrate on the spectral theory of quaternionic operators. First we prove the...
In this paper we prove the spectral theorem for quaternionic unbounded normal operators using the no...
In this article, we prove two versions of the spectral theorem for quaternionic compact normal opera...
The theory of quaternionic operators has applications in several different fields, such as quantum m...
The quaternionic spectral theorem has already been considered in the literature, see e.g. [22], [32]...
The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum....
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quat...
Let H be a right quaternionic Hilbert space and let T be a quaternionic normal operator with domain ...
Triangular operators are an essential tool in the study of nonselfadjoint operators that appear in d...
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity o...
In this paper, the similarity invariant and the upper semi-continuity of spherical spectrum, and the...
In this thesis, we concentrate on the spectral theory of quaternionic operators. First we prove the...
In this paper we prove the spectral theorem for quaternionic unbounded normal operators using the no...
In this article, we prove two versions of the spectral theorem for quaternionic compact normal opera...
The theory of quaternionic operators has applications in several different fields, such as quantum m...
The quaternionic spectral theorem has already been considered in the literature, see e.g. [22], [32]...
The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum....
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quat...
Let H be a right quaternionic Hilbert space and let T be a quaternionic normal operator with domain ...
Triangular operators are an essential tool in the study of nonselfadjoint operators that appear in d...
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity o...
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