2 citations · 4 across the 7 of their papers we have counts for
7 papers
Systems of two subspases in a Hilbert space
Masatoshi Enomoto, Yasuo Watatani
We study two subspace systems in a separable infinite-dimensional Hilbert space up to (bounded) isomorphism. One of the main result of this paper is the following: Isomorphism clas…
Unbounded strongly irreducible operators and transitive representations of quivers on infinite-dimensional Hilbert spaces
Masatoshi Enomoto, Yasuo Watatani
We introduce unbounded strongly irreducible operators and transitive operators. These operators are related to a certain class of indecomposable Hilbert representations of quivers…
Relative position of three subspaces in a Hilbert space
Masatoshi Enomoto, Yasuo Watatani
We study the relative position of three subspaces in a separable infinite-dimensional Hilbert space. In the finite-dimensional case, Brenner described the general position of three…
Strongly irreducible operators and indecomposable representations of quivers on infinite-dimensional Hilbert spaces
Masatoshi Enomoto, Yasuo Watatani
We study several classes of indecomposable representations of quivers on infinite-dimensional Hilbert spaces and their relation. Many examples are constructed using strongly irredu…
Indecomposable representations of quivers on infinite-dimensional Hilbert spaces
Masatoshi Enomoto, Yasuo Watatani
We study indecomposable representations of quivers on separable infinite-dimensional Hilbert spaces by bounded operators. We consider a complement of Gabriel's theorem for these re…
Exotic indecomposable systems of four subspaces in a Hilbert space
Masatoshi Enomoto, Yasuo Watatani
We study the relative position of four subspaces in a Hilbert space. For any positive integer n, we give an example of exotic indecomposable system of four subspaces in a Hilbert s…