16 citations · 48 across the 24 of their papers we have counts for
24 papers
Non-linear traces on the algebra of compact operators and majorization
Masaru Nagisa, Yasuo Watatani
We study non-linear traces of Choquet type and Sugeno type on the algebra of compact operators. They have certain partial additivities. We show that these partial additivities char…
Non-linear traces on matrix algebras, majorization, unitary invariant norms and 2-positivity
Masaru Nagisa, Yasuo Watatani
We study non-linear traces of Choquet type and Sugeno type on matrix algebras. They have certain partial additivities. We show that these partial additivities characterize non-line…
Non-linear monotone positive maps
Masaru Nagisa, Yasuo Watatani
We study several classes of general non-linear positive maps between C*-algebras, which are not necessary completely positive maps. We characterize the class of the compositions of…
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…
Dimension groups for self-similar maps and matrix representations of the core of the associated C*-algebras
Tsuyoshi Kajiwara, Yasuo Watatani
We introduce a dimension group for a self-similar map as the -group of the core of the -algebra associated with the self-similar map together with the canonical end…
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…