Algebras on the disk and doubly commuting multiplication operators
نویسندگان
چکیده
منابع مشابه
Multiplication operators on Banach modules over spectrally separable algebras
Let $mathcal{A}$ be a commutative Banach algebra and $mathscr{X}$ be a left Banach $mathcal{A}$-module. We study the set ${rm Dec}_{mathcal{A}}(mathscr{X})$ of all elements in $mathcal{A}$ which induce a decomposable multiplication operator on $mathscr{X}$. In the case $mathscr{X}=mathcal{A}$, ${rm Dec}_{mathcal{A}}(mathcal{A})$ is the well-known Apostol algebra of $mathcal{A}$. We s...
متن کاملOn Commuting U-operators in Jordan Algebras
Recently J.A.Anquela, T.Cortés, and H.Petersson [2] proved that for elements x, y in a non-degenerate Jordan algebra J , the relation x ◦ y = 0 implies that the U -operators of x and y commute: UxUy = UyUx. We show that the result may be not true without the assumption on nondegeneracity of J . We give also a more simple proof of the mentioned result in the case of linear Jordan algebras, that ...
متن کاملmultiplication operators on banach modules over spectrally separable algebras
let $pa$ be a commutative banach algebra and $ex$ be a left banach $pa$-module. we study the set $dec_{pa}(ex)$ of all elements in $pa$ which induce a decomposable multiplication operator on $ex$. in the case $ex=pa$, $dec_{pa}(pa)$ is the well-known apostol algebra of $pa$. we show that $dec_{pa}(ex)$ is intimately related with the largest spectrally separable subalgebra of $pa$ and...
متن کاملComposition Operators and Multiplication Operators on Orlicz Spaces
This article has no abstract.
متن کاملBispectral algebras of commuting ordinary differential operators
We develop a systematic way for constructing bispectral algebras of commuting ordinary differential operators of any rank N . It combines and unifies the ideas of Duistermaat–Grünbaum and Wilson. Our construction is completely algorithmic and enables us to obtain all previously known classes or individual examples of bispectral operators. The method also provides new broad families of bispectra...
متن کاملذخیره 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: Transactions of the American Mathematical Society
سال: 1988
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1988-0961609-9