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Continuous Operators from Spaces of Lipschitz Functions. [PDF]

Results Math
Bargetz C, Kąkol J, Sobota D.
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Characterizing barren plateaus in quantum ansätze with the adjoint representation. [PDF]

Nat Commun
Fontana E, Herman D, Chakrabarti S, Kumar N, Yalovetzky R, Heredge J, Sureshbabu SH, Pistoia M.   +7 more
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Approximate units and maximal abelian $C^{\ast}$-subalgebras.

, 1970
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Maximal abelian subalgebras of Banach algebras

Bulletin of the London Mathematical Society, 2021
The present paper begins by showing that if \(A\) is a commutative unital Banach algebra whose character space has cardinality greater than one, then there are families of arbitrarily large cardinality of pairwise non-isomorphic unital Banach algebras that contain \(A\) as a maximal abelian subalgebra.
Dales, H.G., Pham, H.L., Żelazko, W.
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RELATIVE ENTROPY FOR ABELIAN SUBALGEBRAS

International Journal of Mathematics, 2010
For finite dimensional abelian subalgebras of a finite von Neumann algebra, we obtain the value of conditional relative entropy defined by Choda. We also consider the modified invariant defined by Pimsner and Popa.
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Maximal Abelian subalgebras of complex Euclidean Lie algebras

Canadian Journal of Physics, 1994
Maximal Abelian subalgebras (MASAs) of the complex Euclidean Lie algebra [Formula: see text] are classified into conjugacy classes under the action of the Lie group [Formula: see text] Use is made of an earlier classification of MASAs of the orthogonal Lie algebra [Formula: see text] These are then extended to nonsplitting MASAs of [Formula: see text]
Kalnins, E. G., Winternitz, P.
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Tensor Products of C*-Algebras Over Abelian Subalgebras

Journal of the London Mathematical Society, 1997
Suppose that \(A\) and \(B\) are von Neumann algebras and that \(Z\) is a common unital (Abelian) von Neumann subalgebra of their centres. Let \(H\), \(K\) be any Hilbert spaces such that \(A\subseteq{\mathcal L}(H)\) and \(B\subseteq{\mathcal L}(K)\).
Giordano, Thierry, Mingo, James A.
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Maximal Abelian C $$^*$$ ∗ -Subalgebras

2016
We start with the classification of all examples of algebras with the Kadison-Singer property. In this chapter, we determine, for a fixed Hilbert space H, which subalgebras \(A\subseteq B(H)\) can possibly have the Kadison-Singer property. For this, we introduce the notion of maximal abelian subalgebras and discuss its properties.
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On Maximal Abelian Subalgebras of Real Factors

The Quarterly Journal of Mathematics, 2003
Summary: We show the real algebra version of \textit{S. Popa}'s theorem [Invent. Math. 65, 269--281 (1981; Zbl 0481.46028)], which answered Kadison's problem about maximal abelian subalgebras. As applications, some results about involutory *-antiautomorphisms are obtained.
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Maximal abelian subalgebras of von Neumann algebras

2011
We are concerned with constructing examples of maximal abelian von Neumann subalgebras (MA subalgebras) in hyperfinite factors of type III. Our results will show that certain phenomena known to hold for the hyperfinite factor of type 11₁ also hold for type III factors. Let M and N be subalgebras of the factor α .
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