AbstractIn this paper we define a quaternionic Cayley transform for some linear operators acting in H⊕H, where H is a Hilbert space, which permits the joint investigation of the pairs of symmetric operators. In particular, this leads to new criteria for the existence of commuting self-adjoint extensions of certain pairs of symmetric operators
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quat...
The classical Weyl-von Neumann theorem states that for any self-adjoint operator $A$ in a separable ...
The joint spectral theory of a system of pairwise commuting self-adjoint left-invariant differential...
AbstractIn this paper we define a quaternionic Cayley transform for some linear operators acting in ...
A theory of self-adjoint extensions of closed symmetric linear manifolds beyond the original space i...
AbstractLet Q be a symmetric operator and Ux a one parameter unitary group in a Hilbert space such t...
A theory of self-adjoint extensions of closed symmetric linear manifolds beyond the original space i...
AbstractWe classify self-adjoint operators and pairs of Hermitian forms over the real quaternions by...
AbstractThe self-adjoint subspace extensions of a possibly nondensely defined symmetric operator in ...
In this talk we shall show that corresponding to a $d$-tuple of strongly commuting normal operators ...
We revise Krein's extension theory of positive symmetric operators. Our approach using factorization...
AbstractThe Weyl calculus WA for a pair of selfadjoint matrices A=(A1,A2) is a construction (origina...
Given a symmetric linear transformation on a Hilbert space, a natural problem to consider is the cha...
AbstractIn a separable Hilbert space a certain class of pairs of operators (P, Q) satisfying the Bor...
On a Hilbert space H, we consider a symmetric scale-invariant operator with equal defect numbers. It...
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quat...
The classical Weyl-von Neumann theorem states that for any self-adjoint operator $A$ in a separable ...
The joint spectral theory of a system of pairwise commuting self-adjoint left-invariant differential...
AbstractIn this paper we define a quaternionic Cayley transform for some linear operators acting in ...
A theory of self-adjoint extensions of closed symmetric linear manifolds beyond the original space i...
AbstractLet Q be a symmetric operator and Ux a one parameter unitary group in a Hilbert space such t...
A theory of self-adjoint extensions of closed symmetric linear manifolds beyond the original space i...
AbstractWe classify self-adjoint operators and pairs of Hermitian forms over the real quaternions by...
AbstractThe self-adjoint subspace extensions of a possibly nondensely defined symmetric operator in ...
In this talk we shall show that corresponding to a $d$-tuple of strongly commuting normal operators ...
We revise Krein's extension theory of positive symmetric operators. Our approach using factorization...
AbstractThe Weyl calculus WA for a pair of selfadjoint matrices A=(A1,A2) is a construction (origina...
Given a symmetric linear transformation on a Hilbert space, a natural problem to consider is the cha...
AbstractIn a separable Hilbert space a certain class of pairs of operators (P, Q) satisfying the Bor...
On a Hilbert space H, we consider a symmetric scale-invariant operator with equal defect numbers. It...
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quat...
The classical Weyl-von Neumann theorem states that for any self-adjoint operator $A$ in a separable ...
The joint spectral theory of a system of pairwise commuting self-adjoint left-invariant differential...
DOI
Add to ORKG