4 citations · 8 across the 12 of their papers we have counts for
12 papers
The operator -norm of some matrices
Imam Nugraha Albania, Masaru Nagisa
We compute the operator -norm of some complex matrices, which can be seen as bounded linear operators from the dimensional Banach space to $\ell^…
The p-norm of some matrices
Masaru Nagisa
We compute the operator -norm of some complex matrices, which can be seen as bounded linear operators on the dimensional Banach space . The notion of…
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…
Stable rank for inclusions of Banach algebras
Masaru Nagisa, Hiroyuki Osaka, Raisei Tomita
We give a formula for the stable rank of inclusions of unital Banach algebras in the sense of finite Watatani index. As an application we show that the stable rank of -alge…
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…