Hilbert空间正交分解的广义Grassmann图

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-05-09 DOI:10.1016/j.laa.2025.05.006

Bojan Kuzma , Mark Pankov

引用次数: 0

摘要

经典的Chow定理描述了Grassmann图的自同构。我们考虑了一个复希尔伯特空间的可数正交分解成规定维数的子空间的广义Grassmann图和正交Grassmann图。两个主要的结果与这些图的自同构有关。

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Generalized Grassmann graphs of orthogonal decompositions of Hilbert spaces

Classical Chow's theorem describes automorphisms of Grassmann graphs. We consider generalized Grassmann and ortho-Grassmann graphs whose vertices are countable orthogonal decompositions of a complex Hilbert space into subspaces of prescribed dimensions. The two main results concern automorphisms of these graphs.

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.