Complex ellipsoids and complex symmetry

نویسندگان

چکیده

Several characterizations of complex ellipsoids among convex bodies in \({\mathbb {C}}^n\), terms their sections and projections are proved. Characterizing symmetry similar is an important tool.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Interpolation and Complex Symmetry

In a separable complex Hilbert space endowed with an isometric conjugate-linear involution, we study sequences orthonormal with respect to an associated bilinear form. Properties of such sequences are measured by a positive, possibly unbounded angle operator which is formally orthogonal as a matrix. Although developed in an abstract setting, this framework is relevant to a variety of eigenvecto...

متن کامل

Symmetry in Complex Networks

In this paper, we analyze a few interrelated concepts about graphs, such as their degree, entropy, or their symmetry/asymmetry levels. These concepts prove useful in the study of different types of Systems, and particularly, in the analysis of Complex Networks. A System can be defined as any set of components functioning together as a whole. A systemic point of view allows us to isolate a part ...

متن کامل

Symmetry in complex networks

We consider the size and structure of the automorphism groups of a variety of empirical ‘realworld’ networks and find that, in contrast to classical random graph models, many real-world networks – including a variety of biological networks and technological networks such as the internet – are richly symmetric. We then discuss how knowledge of the structure of the automorphism group of a network...

متن کامل

A Geometric Characterization: Complex Ellipsoids and the Bochner-martinelli Kernel

Boas’ characterization of bounded domains for which the Bochner-Martinelli kernel is self-adjoint is extended to the case of a weighted measure. For strictly convex domains, this equivalently characterizes the ones whose Leray-Aı̌zenberg kernel is self-adjoint with respect to weighted measure. In each case, the domains are complex linear images of a ball, and the measure is the Fefferman measure...

متن کامل

Simple Structures with Complex Symmetry

We define the automorphism spectrum of a computable structure M, a measurement of the complexity of the symmetries of M, and prove that certain sets of Turing degrees can be realized as automorphism spectra, while certain others cannot.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Aequationes Mathematicae

سال: 2022

ISSN: ['0001-9054', '1420-8903']

DOI: https://doi.org/10.1007/s00010-022-00916-z