Results 71 to 80 of about 1,857,430 (354)
Absolute continuity and hyponormal operators
International Journal of Mathematics and Mathematical Sciences, 1981 Let T be a completely hyponormal operator, with the rectangular representation T=A+iB, on a separable Hilbert space. If 0 is not an eigenvalue of T* then T also has a polar factorization T=UP, with U unitary. It is known that A,B and U are all absolutely
C. R. Putnam
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Interpolation spaces and unitary representations [PDF]
Proceedings of the American Mathematical Society, 1981 Let G G be a Lie group, π \pi a unitary representation of G G on a Hilbert space H ( π ) \mathcal {H}(\pi ) , and H k ( π ) {
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Material‐Induced Nuclear Deformation Controls Chromatin Architecture in Adipose Stem Cells
Advanced Science, EarlyView.Tuning cell and cytoskeleton mechanics modulated nuclear shape and heterochromatin organization in ASCs. Distinct cytoskeletal architectures induced nuclear morphologies from oblate to prolate ellipsoids. Large elongated cells with a structured actin cap exhibited high nuclear strain, driving nuclear envelope deformation and heterochromatin ...
Carlo F. Natale +6 more
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Smart Nanotechnologies for Multimodal Neuromodulation and Brain Interfacing
Advanced Science, EarlyView.Recent advances in smart nanotechnologies are expanding the toolbox for brain interfacing, from wireless neuromodulation and high‐resolution sensing to targeted delivery within the central nervous system. By combining responsive nanomaterials with bioinspired design, these platforms enable multimodal interactions with neurons and glia, while also ...
Tommaso Curiale +6 more
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Dynamics for holographic codes
Journal of High Energy Physics, 2020 We describe how to introduce dynamics for the holographic states and codes introduced by Pastawski, Yoshida, Harlow and Preskill. This task requires the definition of a continuous limit of the kinematical Hilbert space which we argue may be achieved via ...
Tobias J. Osborne, Deniz E. Stiegemann
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Advanced Science, EarlyView.The symmetry‐driven coexistence of altermagnetism and (anti)ferroelectricity in perovskites shows a strong dimensional dependence. Upon reducing the system from bulk to the two‐dimensional limit, only C‐type antiferromagnetic order retains ferroelectrically switchable altermagnetism, whereas A‐ and G‐type orders become conventional antiferromagnets ...
Zhou Cui +6 more
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Quantum symmetries and the Weyl-Wigner product of group representations
, 2002 In the usual formulation of quantum mechanics, groups of automorphisms of quantum states have ray representations by unitary and antiunitary operators on complex Hilbert space, in accordance with Wigner's Theorem.
Bracken, A. J. +2 more
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On unitary representations of Jacobi groups.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1992 This is a corrigendum to the author's article in [J. Reine Angew. Math. 409, 138-171 (1990; Zbl 0702.11027)]. This paper gives a new proof of Prop. 9.1 and its generalization. Our main result is that the holomorphic discrete series of a Jacobi group has a minimal \(K\)-type \(\delta\) with multiplicity one.
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UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS [PDF]
International Journal of Modern Physics A, 1992 We study the irreducible unitary highest weight representations, which are obtained from free field realizations, of W infinity algebras [Formula: see text] with central charges (2, 1, 3, 2M, N, 2M+N). The characters of these representations are computed.
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Advanced Science, EarlyView.This work demonstrates a receiver‐transmitter‐integrated metasurface that decomposes an incident wave into orthogonal components and routes them into separate channels. Inspired by a “Wheel‐of‐Fortune” mechanism, it enables independent control over the amplitude, phase, and polarization of the transmitted wave.
Tong Liu +8 more
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