# On the dependence of the orthogonal projector on deformations of the scalar product

Studia Mathematica (1998)

- Volume: 128, Issue: 1, page 1-17
- ISSN: 0039-3223

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topPasternak-Winiarski, Zbigniew. "On the dependence of the orthogonal projector on deformations of the scalar product." Studia Mathematica 128.1 (1998): 1-17. <http://eudml.org/doc/216474>.

@article{Pasternak1998,

abstract = {We consider scalar products on a given Hilbert space parametrized by bounded positive and invertible operators defined on this space, and orthogonal projectors onto a fixed closed subspace of the initial Hilbert space corresponding to these scalar products. We show that the projector is an analytic function of the scalar product, we give the explicit formula for its Taylor expansion, and we prove some algebraic formulas for projectors.},

author = {Pasternak-Winiarski, Zbigniew},

journal = {Studia Mathematica},

keywords = {scalar product; orthogonal projector; dependence of projectors on scalar products; bounded positive and invertible operators; orthogonal projectors; Taylor expansion},

language = {eng},

number = {1},

pages = {1-17},

title = {On the dependence of the orthogonal projector on deformations of the scalar product},

url = {http://eudml.org/doc/216474},

volume = {128},

year = {1998},

}

TY - JOUR

AU - Pasternak-Winiarski, Zbigniew

TI - On the dependence of the orthogonal projector on deformations of the scalar product

JO - Studia Mathematica

PY - 1998

VL - 128

IS - 1

SP - 1

EP - 17

AB - We consider scalar products on a given Hilbert space parametrized by bounded positive and invertible operators defined on this space, and orthogonal projectors onto a fixed closed subspace of the initial Hilbert space corresponding to these scalar products. We show that the projector is an analytic function of the scalar product, we give the explicit formula for its Taylor expansion, and we prove some algebraic formulas for projectors.

LA - eng

KW - scalar product; orthogonal projector; dependence of projectors on scalar products; bounded positive and invertible operators; orthogonal projectors; Taylor expansion

UR - http://eudml.org/doc/216474

ER -

## References

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