Criteria for determining compactness of the integration operator associated with a vector measure

Susumu Okada; Werner J. Ricker

Criteria for determining compactness of the integration operator associated with a vector measure

Susumu Okada, Werner J. Ricker

Research output: Contribution to journal › Article › peer-review

Abstract

Criteria are presented for determining whether or not the integration operator ƒ → ƒ is compact for a given particular vector measurem We also present a method for constructing both compact and noncompact integration operators associated with l¹ valued vector measures.

Original language	English
Pages (from-to)	175-188
Number of pages	14
Journal	Tatra Mountains Mathematical Publications
Volume	24
Issue number	2
Publication status	Published - 2002

Keywords

vector measure
variation
integration operator
compact operator

Cite this

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title = "Criteria for determining compactness of the integration operator associated with a vector measure",

abstract = "Criteria are presented for determining whether or not the integration operator ƒ → ƒ is compact for a given particular vector measurem We also present a method for constructing both compact and noncompact integration operators associated with l1 valued vector measures.",

keywords = "vector measure , variation , integration operator , compact operator",

author = "Susumu Okada and Ricker, {Werner J.}",

year = "2002",

language = "English",

volume = "24",

pages = "175--188",

journal = "Tatra Mountains Mathematical Publications",

issn = "1210-3195",

publisher = "Mathematical Institute, Slovak Academy of Sciences",

number = "2",

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TY - JOUR

T1 - Criteria for determining compactness of the integration operator associated with a vector measure

AU - Okada, Susumu

AU - Ricker, Werner J.

PY - 2002

Y1 - 2002

N2 - Criteria are presented for determining whether or not the integration operator ƒ → ƒ is compact for a given particular vector measurem We also present a method for constructing both compact and noncompact integration operators associated with l1 valued vector measures.

AB - Criteria are presented for determining whether or not the integration operator ƒ → ƒ is compact for a given particular vector measurem We also present a method for constructing both compact and noncompact integration operators associated with l1 valued vector measures.

KW - vector measure

KW - variation

KW - integration operator

KW - compact operator

M3 - Article

SN - 1210-3195

VL - 24

SP - 175

EP - 188

JO - Tatra Mountains Mathematical Publications

JF - Tatra Mountains Mathematical Publications

IS - 2

ER -

Criteria for determining compactness of the integration operator associated with a vector measure

Abstract

Keywords

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