Schatten

Navigation page for Blueprint/D5/S3/Quantum/Schatten/ at upstream snapshot 880384c42100f2d04436d97c4ac862e91b4bba85.

Contents

• A positive map reflecting positive contractions
• CompoundMatrices
• Singular values of nonnegative diagonal matrices
• Balanced inverse-adjoint averages are expanding
• Opposite matching minimizes expanding diagonal products
• Expanding square matrices and their singular values
• Norm products from an expanding-factor lower bound
• Word traces do not control fractional Schatten norms
• Holder
• The lower Gelfand–Naimark ratio inequality
• MatrixSimilarity
• The full Schatten partition inequality
• PowerMajorization
• ProductLogMajorization
• Rank-one Hadamard products and nonnegative diagonal weights
• Gram order and decreasing singular values
• The trace norm and its two-dimensional formula
• Continuity and balanced scalar optimization
• Unitarily invariant norms and symmetric diagonal gauges
• Zhang–Li Problem 3 for matrices of rank at most one