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Basic Representation Theorems of Forms

delete2025-09-09
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OA
AI
Z
Zsigmond Tarcsay *
Z
Zoltán Sebestyén
DOI：10.1007/s11785-025-01806-3delete
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Abstract

Abstract

En 中文
We study maximal representations of nonnegative sesquilinear forms in real or complex Hilbert spaces, that are not necessarily closed or even closable. We associate positive self-adjoint operators with such forms, in a sense similar to Kato's representation theorems. In particular, we give a brief proof of the Friedrichs extension of a densely defined positive operator.
Keywords:
Nonnegative form
Self-adjoint operator
Representation of forms
Friedrichs extension

Journal

C
Complex Analysis and Operator Theory
IF:
0.8
Papers:
154
Citations:
0

Organization

No organization information available