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- W346386407 abstract "Let $lambda$ be a complex number in the closed unit disc $overline{Bbb D}$, and $cal H$ be a separable Hilbert space with the orthonormal basis, say, ${cal E}={e_n:n=0,1,2,cdots}$. A bounded operator $T$ on $cal H$ is called a {em $lambda$-Toeplitz operator} if $langle Te_{m+1},e_{n+1}rangle=lambdalangle Te_m,e_nrangle$ (where $langlecdot,cdotrangle$ is the inner product on $cal H$). The subject arises naturally as the eigenoperators of the map [ phi(A)=S^*AS ] on the ${cal B}(cal H)$, the space of bounded operators on $cal H$, where $S$ is the unilateral shift on $Se_n=e_{n+1}$. In this paper, we study the essential spectra for $lambda$-Toeplitz operators when $|lambda|=1$, and we will use the results to determine the spectra of certain weighted composition operators on Hardy spaces." @default.
- W346386407 created "2016-06-24" @default.
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- W346386407 date "2013-12-10" @default.
- W346386407 modified "2023-09-27" @default.
- W346386407 title "$lambda$-Toeplitz operators with analytic symbols" @default.
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