gl(λ) and differential operators preserving polynomials
نویسندگان
چکیده
منابع مشابه
gl(A) and Differential Operators Preserving Polynomials
We discuss a certain generalization of gl,,(C), and show how it is connected to polynomial differential operators that leave the polynomial space ~,~ invariant. Mathematics Subject Classifications (1991). 17B66, 17B56, 17B35.
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In this paper, we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$. We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator. Also, we prove that every compact normal operator is a strongly orthogo...
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ژورنال
عنوان ژورنال: Acta Applicandae Mathematica
سال: 1996
ISSN: 0167-8019,1572-9036
DOI: 10.1007/bf00116524