Reducing Subspaces for Toeplitz Operator    T    z 1    k   1      z 2    k   2     + a    z ¯   1 | Zendy

Changguo Wei | Zendy; Xin Ding | Zendy; Yanyue Shi | Zendy

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Reducing Subspaces for Toeplitz Operator

T_{z_{1}^{k_{1}} z_{2}^{k_{2}} + a {\bar{z}}_{1Author(s) - Changguo Wei, Xin Ding, Yanyue Shi Publication year - 2022 Publication title - journal of function spaces Language(s) - English Resource type - Journals SCImago Journal Rank - 0.579 H-Index - 28 eISSN - 2314-8896 pISSN - 2314-8888 DOI - 10.1155/2022/4288928 Subject(s) - linear subspace , mathematics , toeplitz matrix , combinatorics , operator (biology) , discrete mathematics , pure mathematics , biology , genetics , gene , repressor , transcription factorIn this paper, we completely characterize the reducing subspaces for  T φ a on weighted Hardy space  ℋ ω 2 D 2 under three assumptions on  ω , where  φ a = z k + a z ¯ l ,  k , l ∈ ℕ 2 ,   k ≠ l , and  a ∈ 0,1 . It is shown that the coefficient  a ∈ 0,1 does not affect the reducing subspaces for  T φ a . We also prove that, for every  δ > 0 , weighted Dirichlet space  D δ 2 D 2 is a weighted Hardy space which satisfies these assumptions. As an application, we describe the reducing subspaces for  T φ a on  D δ 2 D 2 and get the structure of commutant algebra  V ∗ T φ a .Read Cite Export Add to ListThe content you want is available to Zendy users. Already have an account? Click here to sign in. Sign up to Zendy Having issues? You can contact us hereAccelerating Research Address John Eccles House Robert Robinson Avenue, Oxford Science Park, Oxford OX4 4GP, United Kingdom About About Careers Publisher Partners Contact Us Get Organisational Trial or Quote Learn FAQs Blog Terms of Use Privacy Policy Download the Zendy App Get it on Google Play Download on the App Store Discover Explore Copyright Knowledge E © 2026 . 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As an application, we describe the reducing subspaces for  T φ a on  D δ 2 D 2 and get the structure of commutant algebra  V ∗ T φ a .","publicationName":"Hindawi Publishing Corporation","publicationYear":2022,"publicationType":"Journals","publicationDate":"2022-03-26T00:00:00Z","language":"eng","authors":["Changguo Wei","Xin Ding","Yanyue Shi"],"keywords":"","subjects":["linear subspace","mathematics","toeplitz matrix","combinatorics","operator (biology)","discrete mathematics","pure mathematics","biology","genetics","gene","repressor","transcription factor"],"subSubjectsFull":["biology","combinatorics","discrete mathematics","gene","genetics","linear subspace","mathematics","operator (biology)","pure mathematics","repressor","toeplitz matrix","transcription factor"],"permanentLink":"https://zendy.io/pdf-viewer/10.1155/2022/4288928","isPremium":false,"isPdfHostedByZendy":false,"isPdfDomainVerified":"invalid","licenseType":"cc-by","snip":"","snipYear":"","hIndex":28,"sjr":0.579,"doi":"10.1155/2022/4288928","pISSN":"2314-8888","eISSN":"2314-8896","issn":"","isbn":"","issue":"","volume":2022,"journalTitle":"journal of function spaces","zendyLink":"#","downloadLink":"#","urlPdfText":"","urlPdfChunksEmbeddings":"","permanentLinkId":"10.1155/2022/4288928","firstPage":1,"lastPage":10,"resultScore":"","urlPdfSource":12,"urlFullTextSource":12,"publisherId":12,"zendyId":"10.1155/2022/4288928","pdfViewerUrl":"#","isPdf":true,"isPermalinkAvailableInRegion":true,"isPreview":false,"permalinkSearchProvider":"solr","isFetchingPermalinkDetails":false,"error":"","isPermaLinkedTitle":true}},"citation":{"entity":"","isLoading":false,"error":null},"preferenceSearch":{"enabled":false,"interests":[]}},"subscription":{"premiumStatus":{},"paymentGateway":null,"discount":null,"subscriptionPlan":{},"purchaseHistory":{},"paymentInfo":{},"selectedPlan":null,"selectedPaymentGateway":"","exisitngSubscriptionView":{"showCancelSubscriptionDialog":false,"showResubscribeDialog":false,"showCancelDowngradeConfirmationPopup":false},"upgradeDowngrade":{"error":""}},"topicRecommendations":{"combinedRecommendedPapers":[],"combinedRecommendedPapersLoading":false},"user":{"id":null,"phoneNumber":null,"role":"GUEST","firstName":null,"lastName":null,"email":null,"isEmailVerified":null,"regionName":null,"metaData":{"metaDataUserRole":null},"isAuthenticated":false,"error":null,"loading":false},"userPersonalization":{"pageNumber":0,"loading":false,"myLibrary":{"selectedTab":{"id":"read_history","name":"Read History"}},"myLists":{"selectedList":{},"isLoading":false,"reloadLists":false,"error":null,"data":[]},"savedPublications":{"data":[],"error":null,"isLoading":false,"total":0},"favoritedPublication":{"data":[],"error":"","total":0},"readHistory":{"data":[],"error":"","total":0},"publicationNotes":{"fetchNotes":false,"loading":false,"data":[],"error":""},"notifications":{"loading":false,"showNotificationList":false,"userNotifications":[],"marketingNotifications":[],"error":"","notificationTabId":"notifications","clickedNotificationId":""}}}}},"page":"/title/[...permanentLinkId]","query":{"permanentLinkId":["10.1155/2022/4288928"]},"buildId":"CxDBl9PjLHHViXd7u7mpf","isFallback":false,"gip":true,"locale":"en","locales":["en"],"defaultLocale":"en","scriptLoader":[]}}}