Unitarily invariant valuations on convex functions [PDF]
, 2023 Continuous, dually epi-translation invariant valuations on the space of finite-valued convex functions on $\mathbb{C}^n$ that are invariant under the unitary group are investigated.
Knoerr, Jonas
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G-invariant norms and G(c)-radii [PDF]
, 1991 Let V be a finite dimensional inner product space over F(=R or C), and let G be a closed subgroup of the group of unitary operators on V. A norm or a seminorm ∥·∥ on V is said to be G-invariant if {norm of matrix}g(x){norm of matrix}=∥x∥ for all g ε ...
Li, Chi-Kwong +3 more
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The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic [PDF]
, 2016 Let G be a Sylow p -subgroup of the unitary groups GU(3,q2)GU(3,q2), GU(4,q2)GU(4,q2), the symplectic group Sp(4,q)Sp(4,q) and, for q odd, the orthogonal group O+(4,q)O+(4,q).
Fleischmann, Peter +2 more
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A noncommutative Beurling theorem with respect to unitarily invariant norms
Journal of Operator Theory, 2016 25 ...
Chen, Yanni, Hadwin, Don, Shen, Junhao
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On the perturbation bound in unitarily invariant norms for subunitary polar factors [PDF]
, 2008 Let Crm×n be the set of m×n complex matrices with rank r, and let A∈Crm×n and A∼=A+E∈Crm×n have the generalized polar decompositionsA=QHandA∼=Q∼H∼.In this article, a new perturbation bound for subunitary polar factors in any unitarily invariant norm is ...
Li, Wen
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Generalizations of unitarily invariant norm inequalities for matrices [PDF]
In this article, we begin by deriving a unitarily invariant norm inequality for matrices, which is a generalization of the result due to Cao and Wu. Additionally, we introduce a matrix Cauchy-Schwarz inequality for unitarily invariant norms, further ...
Xue, Jianming, Hu, Xingkai, Yi, Yuan
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Quantum adiabatic theorem for unbounded Hamiltonians with a cutoff and its application to superconducting circuits. [PDF]
Philos Trans A Math Phys Eng Sci, 2023 Mozgunov E, Lidar DA.
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The stability of the unit balls of symmetric and unitarily invariant norms [PDF]
, 1997 A compact convex set K is called stable if the midpoint mapping, K × K → K, (x, y) → (x + y)2, is open. The main result asserts that the stability of the closed unit ball of a unitarily invariant norm is equivalent to the stability of the closed unit ...
de Sá, Eduardo Marques
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Inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2012 Limin Zou, Youyi Jiang
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Faces of the unit ball of a unitarily invariant norm
Linear Algebra and its Applications, 1994 See the review of the author's paper [ibid. 197-198, 429-450 (1994; Zbl 0808.15015)].
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