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We investigate the limit point set of the Browder spectrum of $M_{C}$. It is shown that\n  $$ acc \\sigma_{b}(M_C)\\cup W_{acc \\sigma_{b}}= acc \\sigma_{b}(A)\\cup acc \\sigma_{b}(B)$$ where $W_{acc \\sigma_{b}}$ is a subsets of $ acc\\sigma_{*}(B)\\cap acc\\sigma_{*}(A)$ and a union of certain holes in $ acc \\sigma_{b}(M_C)$. Furthermore, several sufficient conditions for $acc\\sigma_{b}(M_C)=acc\\sig"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1811.01857","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-11-05T17:21:27Z","cross_cats_sorted":[],"title_canon_sha256":"d1c4ab9a8e0bf01736fa64db8cb42110f8e299858f87060841d37031e7073f6f","abstract_canon_sha256":"21ad6aa2fc28e086cae9a496e834dd6b44e811b7517c3baf5c8929982a74f52f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:33.073895Z","signature_b64":"f7mjUDYqxHIVSF9C+dNgg232LCeJx0fjVzy4yDXlbmpX/Wn2hlfJpQ1Oxb6DCRu9APql+8RCr5QVV4a3kCLCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1686eaa302246ba23ff31c64248eba4da8f09b6f10ce9b2960c9db06c50e209","last_reissued_at":"2026-05-18T00:01:33.073446Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:33.073446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Limit Points for Browder Spectrum of Operator Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Abdelaziz Tajmouati, Mohammed Karmouni, Safae Alaoui Chrifi","submitted_at":"2018-11-05T17:21:27Z","abstract_excerpt":"Let $A\\in \\mathcal{B}(X)$ and $B\\in \\mathcal{B}(Y)$, where $X$ and $Y$ are Banach spaces, and let $M_{C}$ be an operator acting on $X\\oplus Y$ given by $M_C=\\begin{pmatrix} A & C \\\\ 0 & B \\\\ \\end{pmatrix}$. We investigate the limit point set of the Browder spectrum of $M_{C}$. It is shown that\n  $$ acc \\sigma_{b}(M_C)\\cup W_{acc \\sigma_{b}}= acc \\sigma_{b}(A)\\cup acc \\sigma_{b}(B)$$ where $W_{acc \\sigma_{b}}$ is a subsets of $ acc\\sigma_{*}(B)\\cap acc\\sigma_{*}(A)$ and a union of certain holes in $ acc \\sigma_{b}(M_C)$. 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