A new characterization of anticommutativity of (unbounded) self-adjoint operators is presented in connection with Clifford algebra. Some consequences of the characterization and applications are discussed
Abstract. The non-trivial Clifford algebras over the ring Z are non-commutative. On the other hand, ...
We explore commutativity up to a factor, AB = uBA, for bounded operators in a complex Hilbert space....
We introduce the notion of strong supercommutativity of self-adjoint operators on a Z2-graded Hilber...
The self-adjoint extensions of symmetric operators satisfying anticommutation relations are consider...
Abstract. In this article, linear operators satisfying anti-commutation relations are considered. It...
AbstractSeveral equivalent definitions of anticommutativity for selfadjoint operators are presented....
Let J and R be anti-commuting fundamental symmetries in a Hilbert space ℘. The operators J an...
It is proven that, for every pair {A, B} of anticommuting self-adjoint operators, iAB is essntially ...
. A note is made on the connection between Clifford analysis and the Weyl functional calculus for an...
Operator-theoretical analysis is made on (unbounded) representations, in Hilbert spaces, of a supers...
Operator-theoretical analysis is made on ( unbounded) representations, in Hilbert spaces, of a super...
We introduce a notion of weak anticommutativity for a pair (S, T) of self-adjoint regular operators ...
We prove that every self-adjoint algebra homomorphism between algebras of measurable operators is co...
We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are ...
AbstractThe idea of symmetric anti-eigenvalue and symmetric anti-eigenvector of a bounded linear ope...
Abstract. The non-trivial Clifford algebras over the ring Z are non-commutative. On the other hand, ...
We explore commutativity up to a factor, AB = uBA, for bounded operators in a complex Hilbert space....
We introduce the notion of strong supercommutativity of self-adjoint operators on a Z2-graded Hilber...
The self-adjoint extensions of symmetric operators satisfying anticommutation relations are consider...
Abstract. In this article, linear operators satisfying anti-commutation relations are considered. It...
AbstractSeveral equivalent definitions of anticommutativity for selfadjoint operators are presented....
Let J and R be anti-commuting fundamental symmetries in a Hilbert space ℘. The operators J an...
It is proven that, for every pair {A, B} of anticommuting self-adjoint operators, iAB is essntially ...
. A note is made on the connection between Clifford analysis and the Weyl functional calculus for an...
Operator-theoretical analysis is made on (unbounded) representations, in Hilbert spaces, of a supers...
Operator-theoretical analysis is made on ( unbounded) representations, in Hilbert spaces, of a super...
We introduce a notion of weak anticommutativity for a pair (S, T) of self-adjoint regular operators ...
We prove that every self-adjoint algebra homomorphism between algebras of measurable operators is co...
We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are ...
AbstractThe idea of symmetric anti-eigenvalue and symmetric anti-eigenvector of a bounded linear ope...
Abstract. The non-trivial Clifford algebras over the ring Z are non-commutative. On the other hand, ...
We explore commutativity up to a factor, AB = uBA, for bounded operators in a complex Hilbert space....
We introduce the notion of strong supercommutativity of self-adjoint operators on a Z2-graded Hilber...
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