COMPACTNESS OF MARKOV AND SCHRÖ DINGER SEMI-GROUPS : A PROBABILISTIC APPROACH

Takeda, Masayoshi ; Tawara, Yoshihiro ; Tsuchida, Kaneharu

Osaka Journal of Mathematics, 2017, 54(3), 517-532

アクセス数:353件（2026-02-15 16:20 集計）

固定URL: https://doi.org/10.18910/66998

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タイトル	COMPACTNESS OF MARKOV AND SCHRÖ DINGER SEMI-GROUPS : A PROBABILISTIC APPROACH
著者	NRID 1000030179650 1000030179650 著者名 Takeda, Masayoshi
	NRID 1000000567901 1000000567901 著者名 Tawara, Yoshihiro
	NRID 1000080466523 1000080466523 著者名 Tsuchida, Kaneharu
抄録	It is proved if an irreducible, strong Feller symmetric Markov process possesses a tightness property, then its semi-group is an L^2-compact operator. In this paper, applying this fact, we prove probabilistically the compactness of Dirichlet-Laplacians and Schrödinger operators.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	54(3)
ページ	517-532
刊行年月	2017-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/66998
DOI	https://doi.org/10.18910/66998
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 54, Number 3 （2017-7）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2017, 54(3), p. 517-532
DC.title	COMPACTNESS OF MARKOV AND SCHRÖ DINGER SEMI-GROUPS : A PROBABILISTIC APPROACH
DC.creator	Takeda, Masayoshi
	Tawara, Yoshihiro
	Tsuchida, Kaneharu
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2017-07
DCTERMS.abstract	It is proved if an irreducible, strong Feller symmetric Markov process possesses a tightness property, then its semi-group is an L^2-compact operator. In this paper, applying this fact, we prove probabilistically the compactness of Dirichlet-Laplacians and Schrödinger operators.
DC.identifier	10.18910/66998
DC.format	66998
citation_title	COMPACTNESS OF MARKOV AND SCHRÖ DINGER SEMI-GROUPS : A PROBABILISTIC APPROACH
citation_author	Takeda, Masayoshi
	Tawara, Yoshihiro
	Tsuchida, Kaneharu
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2017-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	54
citation_issue	3
citation_firstpage	517
citation_lastpage	532
citation_public_url	https://hdl.handle.net/11094/66998
citation_doi_detail	10.18910/66998
citation_doi	https://doi.org/10.18910/66998