arXiv:2408.14120 Abstract | arXiv Analytics

arXiv:2408.14120 [math.FA]Abstract References Reviews Resources

Kernels of paired operators and their adjoints

M. Cristina Câmara, Jonathan R. Partington

Published 2024-08-26Version 1

We review the basic properties of paired operators and their adjoints, the transposed paired operators, with particular reference to commutation relations, and we study the properties of their kernels, bringing out their similarities and also, somewhat surprisingly, their stark differences. Various notions expressing different invariance properties are also reviewed and we extend to paired operators some known invariance results.

Comments: 24 pages

Categories: math.FA, math.CV

Subjects: 30H10, 47B35, 47B38

Keywords: basic properties, invariance results, stark differences, invariance properties, commutation relations

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