18 citations · 135 across the 55 of their papers we have counts for
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On C*-algebras which cannot be decomposed into tensor products with both factors infinite-dimensional
Tomasz Kania
We prove that C*-algebras which, as Banach spaces, are Grothendieck cannot be decomposed into a tensor product of two infinite-dimensional C*-algebras. By a result of Pfitzner, thi…
Uniqueness of the maximal ideal of operators on the -sum of for
Tomasz Kania, Niels Jakob Laustsen
A recent result of Leung (Proceedings of the American Mathematical Society, to appear) states that the Banach algebra of bounded, linear operators on the Banach sp…
A short proof of the fact that the matrix trace is the expectation of the numerical values
Tomasz Kania
Using the fact that the normalised matrix trace is the unique linear functional on the algebra of matrices which satisfies and for all $n\tim…
Finite generation in -algebras and Hilbert -modules
David P. Blecher, Tomasz Kania
We characterize -algebras and -modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, -algebras sati…