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We say $T$ to be \\textit{minimum attaining} if there exists a unit vector $x\\in H_1$ such that $\\|Tx\\|=m(T)$, where $m(T):=\\inf{\\{\\|Tx\\|:x\\in H_1,\\; \\|x\\|=1}\\}$ is the \\textit{minimum modulus} of $T$. We say $T$ to be \\textit{absolutely minimum attaining} ($\\mathcal{AM}$-operators in short), if for any closed subspace $M$ of $H_1$ the restriction operator $T|_M:M\\rightarrow H_2$ is minimum attaining.\n  In this paper, we give a new characterization of positive absolutely minimum attai"},"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":"1804.04321","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-04-12T05:19:03Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"1e4a39c130a3054e66a340b44da5886bfe6234dc0bbe2748497b5328343fbe0e","abstract_canon_sha256":"fa2471e665c5d2ac120473c1568055344a195f937ce0501e4632801252fbbd0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:46.385118Z","signature_b64":"c/OOjSW32Gp7FfeQ7KLEZpx0FFq6lhR5RJVrHnbC5eFsgk32GQBxNh1/cb+JEiqGQhShsV6MTR+u+K6yJfktAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc778ae64dff05cfb5a1840daea5dff3ff1e1d1136267385737a4cbf3a33fa58","last_reissued_at":"2026-05-18T00:15:46.384447Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:46.384447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral decomposition of normal absolutely minimum attaining operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.FA","authors_text":"G. 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