Ardent
发表于 2025-3-28 17:18:03
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胰脏
发表于 2025-3-28 19:10:10
https://doi.org/10.1007/978-1-4612-2140-1Let . = (..) be positive definite Hermitian . × . matrix. We prove a following strengthening of the Hadamard inequality:.We give similar estimate in the case of non-Hermitian matrix. We use these results for a short proof of the existence of Von Koh’s infinite determinants, and also give a strong isoperimetric inequality for simplices in ℝ.
忧伤
发表于 2025-3-28 23:28:23
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蛤肉
发表于 2025-3-29 06:39:13
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一再烦扰
发表于 2025-3-29 07:14:37
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紧张过度
发表于 2025-3-29 12:31:57
,Remarks on Bourgain’s Problem on Slicing of Convex Bodies,For a convex symmetric body . ⊂ ℝ. we define a number .. by:. If the minimum is attained for . = . we say that . is in isotropic position. Any K has an affine image which is in isotropic position.
GREG
发表于 2025-3-29 18:28:24
A Note on the Banach-Mazur Distance to the Cube,If . is an .-dimensional normed space, and . denotes the Banach-Mazur distance, then .(., ℓ.) ≤ ...
gentle
发表于 2025-3-29 23:05:20
Uniform Non-Equivalence between Euclidean and Hyperbolic Spaces,It is well known that the Euclidean and hyperbolic (Lobachevsky-Bolyai) spaces .., .. of the same dimension . are homeomorphic. V. A. Efremovich (, ) proved in 1945, that .. and .. are not uniformly homeomorphic; this means that there does not exist any homeomorphism between them that is uniform together with its inverse.
贪婪性
发表于 2025-3-30 03:03:12
A Remark about Distortion,In this note we show that every Banach space . not containing .. uniformly and with unconditional basis contains an arbitrarily distortable subspace.
Conjuction
发表于 2025-3-30 04:45:25
Symmetric Distortion in ,,,We take notation and definitions from the preceding Note .