Located operators

B.A.W. Spitters

doi:10.1002/1521-3870(200210)48:1+<107::AID-MALQ107>3.0.CO;2-O

Located operators

B.A.W. Spitters

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

4 Citations (Scopus)

Abstract

We study operators with located graph in Bishop-style constructive mathematics. It is shown that a bounded operator has an adjoint if and only if its graph is located. Locatedness of the graph is a necessary and sufficient condition for an unbounded normal operator to have a spectral decomposition. These results suggest that located operators are the right generalization of bounded operators with an adjoint.

Original language	English
Pages (from-to)	107-122
Journal	Mathematical Logic Quarterly
Volume	48
Issue number	S1
DOIs	https://doi.org/10.1002/1521-3870(200210)48:1+<107::AID-MALQ107>3.0.CO;2-O
Publication status	Published - 2002

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10.1002/1521-3870(200210)48:1+<107::AID-MALQ107>3.0.CO;2-O

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title = "Located operators",

abstract = "We study operators with located graph in Bishop-style constructive mathematics. It is shown that a bounded operator has an adjoint if and only if its graph is located. Locatedness of the graph is a necessary and sufficient condition for an unbounded normal operator to have a spectral decomposition. These results suggest that located operators are the right generalization of bounded operators with an adjoint.",

author = "B.A.W. Spitters",

year = "2002",

doi = "10.1002/1521-3870(200210)48:1+<107::AID-MALQ107>3.0.CO;2-O",

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T1 - Located operators

AU - Spitters, B.A.W.

PY - 2002

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AB - We study operators with located graph in Bishop-style constructive mathematics. It is shown that a bounded operator has an adjoint if and only if its graph is located. Locatedness of the graph is a necessary and sufficient condition for an unbounded normal operator to have a spectral decomposition. These results suggest that located operators are the right generalization of bounded operators with an adjoint.

U2 - 10.1002/1521-3870(200210)48:1+<107::AID-MALQ107>3.0.CO;2-O

DO - 10.1002/1521-3870(200210)48:1+<107::AID-MALQ107>3.0.CO;2-O

M3 - Article

SN - 0942-5616

VL - 48

SP - 107

EP - 122

JO - Mathematical Logic Quarterly

JF - Mathematical Logic Quarterly

IS - S1

ER -

Located operators

Abstract

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