We prove the Weyl-von Neumann-Berg theorem for right linear operators (not necessarily bounded) in a quaternionic Hilbert space: Let N be a right linear normal (need not be bounded) operator in a quaternionic separable infinite dimensional Hilbert space H. Then for a given ϵ > 0, there exists a compact operator K with ↑K↑<ϵ and a diagonal operator D on H such that N = D + K
Abstract. Let T be a bounded linear operator on a complex Hilbert space H. T is called (p, k)-quasih...
Abstract. Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A i...
Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momen...
In this article, we prove the existence of the polar decomposition of densely defined closed right l...
Let H be a right quaternionic Hilbert space and let T be a quaternionic normal operator with domain ...
We prove that for a right linear bounded normal operator on a quaternionic Hilbert space (quaternion...
In this thesis, we concentrate on the spectral theory of quaternionic operators. First we prove the...
The theory of quaternionic operators has applications in several different fields, such as quantum m...
In this article, we prove two versions of the spectral theorem for quaternionic compact normal opera...
AbstractWe show that there are operators on a five-dimensional Hilbert space which are not tridiagon...
The primarily objective of the book is to serve as a primer on the theory of bounded linear operator...
AbstractIn this note, we present three simple necessary and sufficient conditions for a linear compa...
Suppose Tt/i is a Toeplitz operator on the Bergman space of the open unit disc. When the symbol (r)d...
Abstract. An operator T is called (p, k)-quasihyponormal if T ∗k(|T |2p − |T ∗|2p)Tk ≥ 0, (0 < p ...
In this talk we shall show that corresponding to a $d$-tuple of strongly commuting normal operators ...
Abstract. Let T be a bounded linear operator on a complex Hilbert space H. T is called (p, k)-quasih...
Abstract. Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A i...
Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momen...
In this article, we prove the existence of the polar decomposition of densely defined closed right l...
Let H be a right quaternionic Hilbert space and let T be a quaternionic normal operator with domain ...
We prove that for a right linear bounded normal operator on a quaternionic Hilbert space (quaternion...
In this thesis, we concentrate on the spectral theory of quaternionic operators. First we prove the...
The theory of quaternionic operators has applications in several different fields, such as quantum m...
In this article, we prove two versions of the spectral theorem for quaternionic compact normal opera...
AbstractWe show that there are operators on a five-dimensional Hilbert space which are not tridiagon...
The primarily objective of the book is to serve as a primer on the theory of bounded linear operator...
AbstractIn this note, we present three simple necessary and sufficient conditions for a linear compa...
Suppose Tt/i is a Toeplitz operator on the Bergman space of the open unit disc. When the symbol (r)d...
Abstract. An operator T is called (p, k)-quasihyponormal if T ∗k(|T |2p − |T ∗|2p)Tk ≥ 0, (0 < p ...
In this talk we shall show that corresponding to a $d$-tuple of strongly commuting normal operators ...
Abstract. Let T be a bounded linear operator on a complex Hilbert space H. T is called (p, k)-quasih...
Abstract. Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A i...
Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momen...
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